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Finding the Fourth Proportional to 20,832.56, 31,217.52 and 8,340.20

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Solution

The fourth proportional to 20,832.56, 31,217.52 and 8,340.20 is: 12,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.56 : 31,217.52 = 8,340.20 : x
  2. Step 2: Convert to fraction form
    20,832.56/31,217.52 = 8,340.20/x
  3. Step 3: Cross multiply
    20,832.56x = 31,217.52 × 8,340.20
  4. Step 4: Simplify right side
    20,832.56x = 260,360,360.30
  5. Step 5: Solve for x
    x = 260,360,360.30/20,832.56
  6. Step 6: Final answer
    x = 12,497.76

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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.