You are likely not eligible for Dutch citizenship through your adopted father because your adoption was finalized after you turned 18. Dutch nationality law generally only grants citizenship by adoption if the adoption occurs before the child reaches the age of majority (18). Since your father adopted you when you were 24, this path is closed.
However, there are two possible alternative routes. First, if your father already held Dutch citizenship at the time of your adoption (which he likely did, as you mentioned), you might be able to apply for citizenship through the 'option procedure' (optierecht) if you meet certain conditions. This procedure is for adults who have a Dutch parent and can demonstrate a close connection to the Netherlands, such as living there for a period or having a Dutch passport. But the option procedure typically requires that the parent-child relationship existed before you turned 18, and formal adoption after 18 may not satisfy that requirement. Second, you could explore naturalization as a regular immigrant, which would require five years of legal residence in the Netherlands, passing the civic integration exam (inburgeringsexamen), and meeting income and language requirements. This is a longer and more demanding process.
Honest tradeoffs: The option procedure is faster and cheaper than naturalization (no residence requirement, lower fees), but it is discretionary and your case is unusual. Naturalization is more certain if you qualify but requires moving to the Netherlands, learning Dutch to at least A2 level (soon B1), and passing exams. Neither path is quick or guaranteed.
Concrete next steps: Contact the Immigration and Naturalisation Service (IND) directly for a preliminary assessment. You can also consult a Dutch immigration lawyer who specializes in nationality law. Gather documents: your father's Dutch birth certificate or passport, your adoption decree, your birth certificate, and proof of your parents' marriage. The IND's website (ind.nl) has detailed checklists. Be prepared for a potentially negative answer, but it is worth asking an expert.