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Finding the Fourth Proportional to 27,463.60, 41,177.19 and 9,931.15

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Solution

The fourth proportional to 27,463.60, 41,177.19 and 9,931.15 is: 14,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463.60 : 41,177.19 = 9,931.15 : x
  2. Step 2: Convert to fraction form
    27,463.60/41,177.19 = 9,931.15/x
  3. Step 3: Cross multiply
    27,463.60x = 41,177.19 × 9,931.15
  4. Step 4: Simplify right side
    27,463.60x = 408,936,850.47
  5. Step 5: Solve for x
    x = 408,936,850.47/27,463.60
  6. Step 6: Final answer
    x = 14,890.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.