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Finding the Fourth Proportional to 16,287.80, 24,472.70 and 10,367.40

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Solution

The fourth proportional to 16,287.80, 24,472.70 and 10,367.40 is: 15,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.80 : 24,472.70 = 10,367.40 : x
  2. Step 2: Convert to fraction form
    16,287.80/24,472.70 = 10,367.40/x
  3. Step 3: Cross multiply
    16,287.80x = 24,472.70 × 10,367.40
  4. Step 4: Simplify right side
    16,287.80x = 253,718,218.14
  5. Step 5: Solve for x
    x = 253,718,218.14/16,287.80
  6. Step 6: Final answer
    x = 15,577.20

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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.