You're using sodium ethoxide as your base for a reason. Remember, the carbonyl carbon has a partial positive charge. So while this reaction is going on, the nucleophilic ethoxide ion is attacking the carbonyl carbon. So for a moment, you essentially have -OC(OEt)2R. The carbonyl group then reforms, and one of the OEt groups falls off. Assuming there's a large excess of NaOEt, you'll end up replacing all of the methyl groups with ethyl groups anyways.