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Finding the Fourth Proportional to 27,740.62, 41,591.49 and 10,208.17

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Solution

The fourth proportional to 27,740.62, 41,591.49 and 10,208.17 is: 15,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.62 : 41,591.49 = 10,208.17 : x
  2. Step 2: Convert to fraction form
    27,740.62/41,591.49 = 10,208.17/x
  3. Step 3: Cross multiply
    27,740.62x = 41,591.49 × 10,208.17
  4. Step 4: Simplify right side
    27,740.62x = 424,573,000.47
  5. Step 5: Solve for x
    x = 424,573,000.47/27,740.62
  6. Step 6: Final answer
    x = 15,305.10

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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.