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: 10, 17, ['479', '9493', '9061', '5585', 's', '9653', '5741', '7451', '2141', '9547', 'r', 'Z', '8915', '8289', '9281', '561', 'J', '3029', '3595', '7279', '7641']
Example Output: 36593

Example Input: 12, 17, ['k', '9879', 'R', '2595', 'c', 'p', '3825', 'y', 'i', '6281', '927', 's', '5407', '9137', 'F', '8207', 'L', 'I']
Example Output: 22751

Example Input: 3, 4, ['3949', '5315', 'G', 's', 'v', 'm', '7833', 'E', 'j']
Example Output:
0