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: 7, 17, ['149', 'O', 'h', '7873', '9227', '5655', '8945', 'I', 'c', 'V', 'Z', 'I', 'L', '1153', 'L', 'Y', '2031', 'B', 'S', 'x', 'u', '2483', 'M', '2469', '4991']
Example Output: 12129

Example Input: 8, 9, ['3587', '5903', 'B', '9671', 's', 'A', '7259', '6961', '2601', '9719']
Example Output: 9562

Example Input: 1, 2, ['679', '2745', 'R', 'z', 'Y', 'q']
Example Output:
3424