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Finding the Fourth Proportional to 27,631.86, 41,451.89 and 9,861.13

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Solution

The fourth proportional to 27,631.86, 41,451.89 and 9,861.13 is: 14,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,631.86 : 41,451.89 = 9,861.13 : x
  2. Step 2: Convert to fraction form
    27,631.86/41,451.89 = 9,861.13/x
  3. Step 3: Cross multiply
    27,631.86x = 41,451.89 × 9,861.13
  4. Step 4: Simplify right side
    27,631.86x = 408,762,476.04
  5. Step 5: Solve for x
    x = 408,762,476.04/27,631.86
  6. Step 6: Final answer
    x = 14,793.16

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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.