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Finding the Fourth Proportional to 20,189.56, 30,287.96 and 6,863.80

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Solution

The fourth proportional to 20,189.56, 30,287.96 and 6,863.80 is: 10,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.56 : 30,287.96 = 6,863.80 : x
  2. Step 2: Convert to fraction form
    20,189.56/30,287.96 = 6,863.80/x
  3. Step 3: Cross multiply
    20,189.56x = 30,287.96 × 6,863.80
  4. Step 4: Simplify right side
    20,189.56x = 207,890,499.85
  5. Step 5: Solve for x
    x = 207,890,499.85/20,189.56
  6. Step 6: Final answer
    x = 10,296.93

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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.