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Finding the Fourth Proportional to 20,713.36, 31,049.96 and 8,229.28

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Solution

The fourth proportional to 20,713.36, 31,049.96 and 8,229.28 is: 12,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.36 : 31,049.96 = 8,229.28 : x
  2. Step 2: Convert to fraction form
    20,713.36/31,049.96 = 8,229.28/x
  3. Step 3: Cross multiply
    20,713.36x = 31,049.96 × 8,229.28
  4. Step 4: Simplify right side
    20,713.36x = 255,518,814.83
  5. Step 5: Solve for x
    x = 255,518,814.83/20,713.36
  6. Step 6: Final answer
    x = 12,335.94

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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.