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Finding the Fourth Proportional to 27,906.38, 41,854.92 and 9,186.62

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Solution

The fourth proportional to 27,906.38, 41,854.92 and 9,186.62 is: 13,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.38 : 41,854.92 = 9,186.62 : x
  2. Step 2: Convert to fraction form
    27,906.38/41,854.92 = 9,186.62/x
  3. Step 3: Cross multiply
    27,906.38x = 41,854.92 × 9,186.62
  4. Step 4: Simplify right side
    27,906.38x = 384,505,245.17
  5. Step 5: Solve for x
    x = 384,505,245.17/27,906.38
  6. Step 6: Final answer
    x = 13,778.40

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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.