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Finding the Fourth Proportional to 20,793.18, 31,202.76 and 8,311.32

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Solution

The fourth proportional to 20,793.18, 31,202.76 and 8,311.32 is: 12,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.18 : 31,202.76 = 8,311.32 : x
  2. Step 2: Convert to fraction form
    20,793.18/31,202.76 = 8,311.32/x
  3. Step 3: Cross multiply
    20,793.18x = 31,202.76 × 8,311.32
  4. Step 4: Simplify right side
    20,793.18x = 259,336,123.24
  5. Step 5: Solve for x
    x = 259,336,123.24/20,793.18
  6. Step 6: Final answer
    x = 12,472.17

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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.