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Finding the Fourth Proportional to 20,532.56, 30,793.12 and 8,682.24

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Solution

The fourth proportional to 20,532.56, 30,793.12 and 8,682.24 is: 13,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.56 : 30,793.12 = 8,682.24 : x
  2. Step 2: Convert to fraction form
    20,532.56/30,793.12 = 8,682.24/x
  3. Step 3: Cross multiply
    20,532.56x = 30,793.12 × 8,682.24
  4. Step 4: Simplify right side
    20,532.56x = 267,353,258.19
  5. Step 5: Solve for x
    x = 267,353,258.19/20,532.56
  6. Step 6: Final answer
    x = 13,020.94

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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.