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: 2, 7, ['3295', '2909', '8081', '8299', '8979', 'J', 'V', 'r', '2403', '5589', '6875', '9181', '6547', 'k', 'n']
Example Output: 28268

Example Input: 3, 13, ['7259', '131', '4039', 'b', '9015', '9573', '8473', 'O', 's', '6851', 'N', 'E', '715', 'k', 'j', 'r', '9679', '9519', '5335', '383', 'A', 'd']
Example Output: 38666

Example Input: 7, 12, ['2019', '6261', 'r', '3447', '7671', '3067', 'H', '225', '6077', '1681', '9239', 'X', '2087', 'E', '1343', 'T', '3441', 'L']
Example Output:
17222