Last year Ace Inc's earnings per share were $$4\mathrm{.}00,$ and its growth rate during the prior $10$ years was $5\mathrm{.}50\%$ per year. If that growth rate were maintained, how many years would it take for Ace's EPS to triple? Round up to nearest full yea$4$r$,$ for example enter $23\mathrm{.}42$ years and $24$ years $($Note: EPS is calculated annually.$)$