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: 9, 15, ['4185', '6823', 'k', 'N', 'H', 'w', 'B', 'A', 'g', '6953', 'M', 'h', 'k', 'E', '4867', '1135', 'p', 'j', 'c', '5451', 'Y', '3359']

11820