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Finding the Fourth Proportional to 20,380.68, 30,565.89 and 7,896.42

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Solution

The fourth proportional to 20,380.68, 30,565.89 and 7,896.42 is: 11,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.68 : 30,565.89 = 7,896.42 : x
  2. Step 2: Convert to fraction form
    20,380.68/30,565.89 = 7,896.42/x
  3. Step 3: Cross multiply
    20,380.68x = 30,565.89 × 7,896.42
  4. Step 4: Simplify right side
    20,380.68x = 241,361,105.11
  5. Step 5: Solve for x
    x = 241,361,105.11/20,380.68
  6. Step 6: Final answer
    x = 11,842.64

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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.