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: Consider Input: 9, 12, ['4189', '4575', 'i', 'e', 'Y', '5595', 'U', 'M', 'b', 'n', '5347', 'v', 'w', 'Z', 'F', '503', 'G', '4429', '3087', '295', 'W']

Output: 5347


Input: Consider Input: 1, 15, ['9611', 'm', '8001', '7451', 'O', '753', 'F', 'F', '3017', '8265', 'j', '5753', 'B', 'Q', '4079', 'k', 'N', '5197', '3885', '3193']

Output: 46930


Input: Consider Input: 8, 12, ['2363', '8031', 'i', '9499', '797', 'Z', 'a', '8467', '4887', 'n', '4553', 'X', '4881', 'L', 'C']


Output: 17907