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Finding the Fourth Proportional to 27,144.20, 40,701.90 and 9,614.60

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Solution

The fourth proportional to 27,144.20, 40,701.90 and 9,614.60 is: 14,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.20 : 40,701.90 = 9,614.60 : x
  2. Step 2: Convert to fraction form
    27,144.20/40,701.90 = 9,614.60/x
  3. Step 3: Cross multiply
    27,144.20x = 40,701.90 × 9,614.60
  4. Step 4: Simplify right side
    27,144.20x = 391,332,487.74
  5. Step 5: Solve for x
    x = 391,332,487.74/27,144.20
  6. Step 6: Final answer
    x = 14,416.80

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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.