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Finding the Fourth Proportional to 17,715.46, 24,447.17 and 9,757.51

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Solution

The fourth proportional to 17,715.46, 24,447.17 and 9,757.51 is: 13,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.46 : 24,447.17 = 9,757.51 : x
  2. Step 2: Convert to fraction form
    17,715.46/24,447.17 = 9,757.51/x
  3. Step 3: Cross multiply
    17,715.46x = 24,447.17 × 9,757.51
  4. Step 4: Simplify right side
    17,715.46x = 238,543,505.75
  5. Step 5: Solve for x
    x = 238,543,505.75/17,715.46
  6. Step 6: Final answer
    x = 13,465.27

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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.