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Finding the Fourth Proportional to 27,820.52, 41,737.61 and 8,099.26

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Solution

The fourth proportional to 27,820.52, 41,737.61 and 8,099.26 is: 12,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.52 : 41,737.61 = 8,099.26 : x
  2. Step 2: Convert to fraction form
    27,820.52/41,737.61 = 8,099.26/x
  3. Step 3: Cross multiply
    27,820.52x = 41,737.61 × 8,099.26
  4. Step 4: Simplify right side
    27,820.52x = 338,043,755.17
  5. Step 5: Solve for x
    x = 338,043,755.17/27,820.52
  6. Step 6: Final answer
    x = 12,150.88

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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.