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Finding the Fourth Proportional to 27,822.47, 41,737.79 and 8,098.43

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Solution

The fourth proportional to 27,822.47, 41,737.79 and 8,098.43 is: 12,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.47 : 41,737.79 = 8,098.43 : x
  2. Step 2: Convert to fraction form
    27,822.47/41,737.79 = 8,098.43/x
  3. Step 3: Cross multiply
    27,822.47x = 41,737.79 × 8,098.43
  4. Step 4: Simplify right side
    27,822.47x = 338,010,382.23
  5. Step 5: Solve for x
    x = 338,010,382.23/27,822.47
  6. Step 6: Final answer
    x = 12,148.83

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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.