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.

Example Input: 4, 5, ['2167', '7427', 'i', '7289', 'I', '3935', 'o', '6443', 'T', 'e', 'K', '2979', '2025', '5819']
Example Output: 7289

Example Input: 9, 21, ['h', 'C', '8411', 'j', '5693', 'L', 'D', 'V', 't', 't', 'E', '3101', '5045', '9945', 'P', 'q', 'e', 'k', 'T', 'b', 'A', '7015', '6635', '3769', 'j', 'X', '6469']
Example Output: 18091

Example Input: 11, 11, ['1049', 'a', '7521', 'f', 'Z', '2973', '7245', 'e', '1807', 'e', '1325', '7327', 'r']
Example Output:
1325