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: 1, 1, ['2821', '3823', '9741', 'k', 'X', '2457']
Example Output: 2821

Example Input: 1, 2, ['E', 'z']
Example Output: 0

Example Input: 9, 18, ['2461', '9433', '6871', 'N', '2635', '7889', 'Y', '4791', '6217', 'K', 'j', 'H', 'v', 'J', 'b', 'N', 'X', '3073', 'B', 'A', '1769']
Example Output:
9290