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Finding the Fourth Proportional to 19,882.92, 29,828.49 and 6,734.95

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Solution

The fourth proportional to 19,882.92, 29,828.49 and 6,734.95 is: 10,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.92 : 29,828.49 = 6,734.95 : x
  2. Step 2: Convert to fraction form
    19,882.92/29,828.49 = 6,734.95/x
  3. Step 3: Cross multiply
    19,882.92x = 29,828.49 × 6,734.95
  4. Step 4: Simplify right side
    19,882.92x = 200,893,456.68
  5. Step 5: Solve for x
    x = 200,893,456.68/19,882.92
  6. Step 6: Final answer
    x = 10,103.82

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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.