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Finding the Fourth Proportional to 20,067.40, 30,111.34 and 8,229.80

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Solution

The fourth proportional to 20,067.40, 30,111.34 and 8,229.80 is: 12,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.40 : 30,111.34 = 8,229.80 : x
  2. Step 2: Convert to fraction form
    20,067.40/30,111.34 = 8,229.80/x
  3. Step 3: Cross multiply
    20,067.40x = 30,111.34 × 8,229.80
  4. Step 4: Simplify right side
    20,067.40x = 247,810,305.93
  5. Step 5: Solve for x
    x = 247,810,305.93/20,067.40
  6. Step 6: Final answer
    x = 12,348.90

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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.