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Finding the Fourth Proportional to 20,560.96, 30,800.33 and 9,452.42

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Solution

The fourth proportional to 20,560.96, 30,800.33 and 9,452.42 is: 14,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.96 : 30,800.33 = 9,452.42 : x
  2. Step 2: Convert to fraction form
    20,560.96/30,800.33 = 9,452.42/x
  3. Step 3: Cross multiply
    20,560.96x = 30,800.33 × 9,452.42
  4. Step 4: Simplify right side
    20,560.96x = 291,137,655.30
  5. Step 5: Solve for x
    x = 291,137,655.30/20,560.96
  6. Step 6: Final answer
    x = 14,159.73

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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.