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Finding the Fourth Proportional to 15,737.08, 21,716.47 and 9,022.30

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Solution

The fourth proportional to 15,737.08, 21,716.47 and 9,022.30 is: 12,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.08 : 21,716.47 = 9,022.30 : x
  2. Step 2: Convert to fraction form
    15,737.08/21,716.47 = 9,022.30/x
  3. Step 3: Cross multiply
    15,737.08x = 21,716.47 × 9,022.30
  4. Step 4: Simplify right side
    15,737.08x = 195,932,462.17
  5. Step 5: Solve for x
    x = 195,932,462.17/15,737.08
  6. Step 6: Final answer
    x = 12,450.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.