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Finding the Fourth Proportional to 27,781.95, 41,677.25 and 9,057.64

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Solution

The fourth proportional to 27,781.95, 41,677.25 and 9,057.64 is: 13,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.95 : 41,677.25 = 9,057.64 : x
  2. Step 2: Convert to fraction form
    27,781.95/41,677.25 = 9,057.64/x
  3. Step 3: Cross multiply
    27,781.95x = 41,677.25 × 9,057.64
  4. Step 4: Simplify right side
    27,781.95x = 377,497,377.21
  5. Step 5: Solve for x
    x = 377,497,377.21/27,781.95
  6. Step 6: Final answer
    x = 13,587.86

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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.