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Finding the Fourth Proportional to 16,282.49, 22,470.03 and 9,112.85

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Solution

The fourth proportional to 16,282.49, 22,470.03 and 9,112.85 is: 12,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.49 : 22,470.03 = 9,112.85 : x
  2. Step 2: Convert to fraction form
    16,282.49/22,470.03 = 9,112.85/x
  3. Step 3: Cross multiply
    16,282.49x = 22,470.03 × 9,112.85
  4. Step 4: Simplify right side
    16,282.49x = 204,765,900.54
  5. Step 5: Solve for x
    x = 204,765,900.54/16,282.49
  6. Step 6: Final answer
    x = 12,575.83

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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.