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Finding the Fourth Proportional to 16,645.49, 24,968.25 and 9,715.13

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Solution

The fourth proportional to 16,645.49, 24,968.25 and 9,715.13 is: 14,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.49 : 24,968.25 = 9,715.13 : x
  2. Step 2: Convert to fraction form
    16,645.49/24,968.25 = 9,715.13/x
  3. Step 3: Cross multiply
    16,645.49x = 24,968.25 × 9,715.13
  4. Step 4: Simplify right side
    16,645.49x = 242,569,669.78
  5. Step 5: Solve for x
    x = 242,569,669.78/16,645.49
  6. Step 6: Final answer
    x = 14,572.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.