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Finding the Fourth Proportional to 16,107.87, 22,229.97 and 9,034.75

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Solution

The fourth proportional to 16,107.87, 22,229.97 and 9,034.75 is: 12,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.87 : 22,229.97 = 9,034.75 : x
  2. Step 2: Convert to fraction form
    16,107.87/22,229.97 = 9,034.75/x
  3. Step 3: Cross multiply
    16,107.87x = 22,229.97 × 9,034.75
  4. Step 4: Simplify right side
    16,107.87x = 200,842,221.46
  5. Step 5: Solve for x
    x = 200,842,221.46/16,107.87
  6. Step 6: Final answer
    x = 12,468.58

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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.