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Finding the Fourth Proportional to 10,201.92, 15,233.82 and 8,098.32

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Solution

The fourth proportional to 10,201.92, 15,233.82 and 8,098.32 is: 12,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.92 : 15,233.82 = 8,098.32 : x
  2. Step 2: Convert to fraction form
    10,201.92/15,233.82 = 8,098.32/x
  3. Step 3: Cross multiply
    10,201.92x = 15,233.82 × 8,098.32
  4. Step 4: Simplify right side
    10,201.92x = 123,368,349.18
  5. Step 5: Solve for x
    x = 123,368,349.18/10,201.92
  6. Step 6: Final answer
    x = 12,092.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.