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Finding the Fourth Proportional to 19,862.20, 29,793.32 and 8,167.24

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Solution

The fourth proportional to 19,862.20, 29,793.32 and 8,167.24 is: 12,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.20 : 29,793.32 = 8,167.24 : x
  2. Step 2: Convert to fraction form
    19,862.20/29,793.32 = 8,167.24/x
  3. Step 3: Cross multiply
    19,862.20x = 29,793.32 × 8,167.24
  4. Step 4: Simplify right side
    19,862.20x = 243,329,194.84
  5. Step 5: Solve for x
    x = 243,329,194.84/19,862.20
  6. Step 6: Final answer
    x = 12,250.87

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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.