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Finding the Fourth Proportional to 16,180.97, 22,330.17 and 9,107.64

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Solution

The fourth proportional to 16,180.97, 22,330.17 and 9,107.64 is: 12,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.97 : 22,330.17 = 9,107.64 : x
  2. Step 2: Convert to fraction form
    16,180.97/22,330.17 = 9,107.64/x
  3. Step 3: Cross multiply
    16,180.97x = 22,330.17 × 9,107.64
  4. Step 4: Simplify right side
    16,180.97x = 203,375,149.50
  5. Step 5: Solve for x
    x = 203,375,149.50/16,180.97
  6. Step 6: Final answer
    x = 12,568.79

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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.