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Finding the Fourth Proportional to 27,100.20, 40,654.13 and 8,381.88

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Solution

The fourth proportional to 27,100.20, 40,654.13 and 8,381.88 is: 12,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.20 : 40,654.13 = 8,381.88 : x
  2. Step 2: Convert to fraction form
    27,100.20/40,654.13 = 8,381.88/x
  3. Step 3: Cross multiply
    27,100.20x = 40,654.13 × 8,381.88
  4. Step 4: Simplify right side
    27,100.20x = 340,757,793.98
  5. Step 5: Solve for x
    x = 340,757,793.98/27,100.20
  6. Step 6: Final answer
    x = 12,574.00

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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.