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Finding the Fourth Proportional to 16,338, 24,468 and 9,397.92

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Solution

The fourth proportional to 16,338, 24,468 and 9,397.92 is: 14,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338 : 24,468 = 9,397.92 : x
  2. Step 2: Convert to fraction form
    16,338/24,468 = 9,397.92/x
  3. Step 3: Cross multiply
    16,338x = 24,468 × 9,397.92
  4. Step 4: Simplify right side
    16,338x = 229,948,306.56
  5. Step 5: Solve for x
    x = 229,948,306.56/16,338
  6. Step 6: Final answer
    x = 14,074.45

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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.