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Finding the Fourth Proportional to 27,600.20, 41,387.86 and 7,874.07

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Solution

The fourth proportional to 27,600.20, 41,387.86 and 7,874.07 is: 11,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.20 : 41,387.86 = 7,874.07 : x
  2. Step 2: Convert to fraction form
    27,600.20/41,387.86 = 7,874.07/x
  3. Step 3: Cross multiply
    27,600.20x = 41,387.86 × 7,874.07
  4. Step 4: Simplify right side
    27,600.20x = 325,890,906.79
  5. Step 5: Solve for x
    x = 325,890,906.79/27,600.20
  6. Step 6: Final answer
    x = 11,807.56

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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.