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Finding the Fourth Proportional to 11,920.92, 17,882.24 and 3,155.73

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Solution

The fourth proportional to 11,920.92, 17,882.24 and 3,155.73 is: 4,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.92 : 17,882.24 = 3,155.73 : x
  2. Step 2: Convert to fraction form
    11,920.92/17,882.24 = 3,155.73/x
  3. Step 3: Cross multiply
    11,920.92x = 17,882.24 × 3,155.73
  4. Step 4: Simplify right side
    11,920.92x = 56,431,521.24
  5. Step 5: Solve for x
    x = 56,431,521.24/11,920.92
  6. Step 6: Final answer
    x = 4,733.82

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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.