adams weatherspoon, a super salesman contemplating retirement on his fifty$-$ fith birthday, decides to create a fund on an $12\%$ basis that will enable him to withdraw $$15,910$ per year on June $30$ beginning in $2029$ and continuing through $2032.$ To develop this fund, adam intends to make equal contributions on June $30$ of each of the years $2025-2028.($a$)$ How much must the balance of the equal fund on June $30,2028,$ in order for Adams to satisfy his objective?