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Finding the Fourth Proportional to 20,539.53, 30,796.42 and 9,431.97

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Solution

The fourth proportional to 20,539.53, 30,796.42 and 9,431.97 is: 14,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.53 : 30,796.42 = 9,431.97 : x
  2. Step 2: Convert to fraction form
    20,539.53/30,796.42 = 9,431.97/x
  3. Step 3: Cross multiply
    20,539.53x = 30,796.42 × 9,431.97
  4. Step 4: Simplify right side
    20,539.53x = 290,470,909.55
  5. Step 5: Solve for x
    x = 290,470,909.55/20,539.53
  6. Step 6: Final answer
    x = 14,142.04

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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.