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Finding the Fourth Proportional to 13,251.14, 18,287.70 and 9,011.61

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Solution

The fourth proportional to 13,251.14, 18,287.70 and 9,011.61 is: 12,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.14 : 18,287.70 = 9,011.61 : x
  2. Step 2: Convert to fraction form
    13,251.14/18,287.70 = 9,011.61/x
  3. Step 3: Cross multiply
    13,251.14x = 18,287.70 × 9,011.61
  4. Step 4: Simplify right side
    13,251.14x = 164,801,575.14
  5. Step 5: Solve for x
    x = 164,801,575.14/13,251.14
  6. Step 6: Final answer
    x = 12,436.78

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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.