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: 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: 12, 23, ['A', 'i', '4191', 'B', '2297', '3959', '1125', 'c', '739', '7887', 'p', '8173', '5301', '1969', '9737', '7011', '9845', 'r', '2977', 'z', 'Q', 'N', '3847', 's', 'D', '3391', 'T']
Example Output: 48860

Example Input: 1, 9, ['8759', 'z', '4169', '3239', 'v', 'i', 'P', 'y', '2177', 'H', '8809', '1465', 'G', '8527', '2869', '5753', 'k', '2525']
Example Output:
18344