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Finding the Fourth Proportional to 18,432.81, 27,654.09 and 9,665.37

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Solution

The fourth proportional to 18,432.81, 27,654.09 and 9,665.37 is: 14,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.81 : 27,654.09 = 9,665.37 : x
  2. Step 2: Convert to fraction form
    18,432.81/27,654.09 = 9,665.37/x
  3. Step 3: Cross multiply
    18,432.81x = 27,654.09 × 9,665.37
  4. Step 4: Simplify right side
    18,432.81x = 267,287,011.86
  5. Step 5: Solve for x
    x = 267,287,011.86/18,432.81
  6. Step 6: Final answer
    x = 14,500.61

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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.