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Finding the Fourth Proportional to 20,238.80, 30,358.20 and 6,387.80

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Solution

The fourth proportional to 20,238.80, 30,358.20 and 6,387.80 is: 9,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.80 : 30,358.20 = 6,387.80 : x
  2. Step 2: Convert to fraction form
    20,238.80/30,358.20 = 6,387.80/x
  3. Step 3: Cross multiply
    20,238.80x = 30,358.20 × 6,387.80
  4. Step 4: Simplify right side
    20,238.80x = 193,922,109.96
  5. Step 5: Solve for x
    x = 193,922,109.96/20,238.80
  6. Step 6: Final answer
    x = 9,581.70

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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.