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Finding the Fourth Proportional to 16,414.80, 24,622.20 and 9,481.20

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Solution

The fourth proportional to 16,414.80, 24,622.20 and 9,481.20 is: 14,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.80 : 24,622.20 = 9,481.20 : x
  2. Step 2: Convert to fraction form
    16,414.80/24,622.20 = 9,481.20/x
  3. Step 3: Cross multiply
    16,414.80x = 24,622.20 × 9,481.20
  4. Step 4: Simplify right side
    16,414.80x = 233,448,002.64
  5. Step 5: Solve for x
    x = 233,448,002.64/16,414.80
  6. Step 6: Final answer
    x = 14,221.80

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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.