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Finding the Fourth Proportional to 20,859.31, 31,285.17 and 8,378.83

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Solution

The fourth proportional to 20,859.31, 31,285.17 and 8,378.83 is: 12,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.31 : 31,285.17 = 8,378.83 : x
  2. Step 2: Convert to fraction form
    20,859.31/31,285.17 = 8,378.83/x
  3. Step 3: Cross multiply
    20,859.31x = 31,285.17 × 8,378.83
  4. Step 4: Simplify right side
    20,859.31x = 262,133,120.95
  5. Step 5: Solve for x
    x = 262,133,120.95/20,859.31
  6. Step 6: Final answer
    x = 12,566.72

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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.