Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 4, 13, ['6009', '5137', '4093', 'G', 'J', '8887', '425', '8977', 'Y', 'e', '5799', 't', '2801', '4905', 'D', '6627', '7151', '6611', 'U', 'w', '6123', 'R', '1583']

26889