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Finding the Fourth Proportional to 16,711.83, 23,061.29 and 9,542.57

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Solution

The fourth proportional to 16,711.83, 23,061.29 and 9,542.57 is: 13,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.83 : 23,061.29 = 9,542.57 : x
  2. Step 2: Convert to fraction form
    16,711.83/23,061.29 = 9,542.57/x
  3. Step 3: Cross multiply
    16,711.83x = 23,061.29 × 9,542.57
  4. Step 4: Simplify right side
    16,711.83x = 220,063,811.10
  5. Step 5: Solve for x
    x = 220,063,811.10/16,711.83
  6. Step 6: Final answer
    x = 13,168.15

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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.