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Finding the Fourth Proportional to 24,265.50, 36,398.17 and 10,922.87

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Solution

The fourth proportional to 24,265.50, 36,398.17 and 10,922.87 is: 16,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.50 : 36,398.17 = 10,922.87 : x
  2. Step 2: Convert to fraction form
    24,265.50/36,398.17 = 10,922.87/x
  3. Step 3: Cross multiply
    24,265.50x = 36,398.17 × 10,922.87
  4. Step 4: Simplify right side
    24,265.50x = 397,572,479.15
  5. Step 5: Solve for x
    x = 397,572,479.15/24,265.50
  6. Step 6: Final answer
    x = 16,384.27

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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.