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Finding the Fourth Proportional to 27,241.20, 40,861.80 and 9,711.60

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Solution

The fourth proportional to 27,241.20, 40,861.80 and 9,711.60 is: 14,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.20 : 40,861.80 = 9,711.60 : x
  2. Step 2: Convert to fraction form
    27,241.20/40,861.80 = 9,711.60/x
  3. Step 3: Cross multiply
    27,241.20x = 40,861.80 × 9,711.60
  4. Step 4: Simplify right side
    27,241.20x = 396,833,456.88
  5. Step 5: Solve for x
    x = 396,833,456.88/27,241.20
  6. Step 6: Final answer
    x = 14,567.40

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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.