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Finding the Fourth Proportional to 20,200.56, 30,295.17 and 7,711.98

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Solution

The fourth proportional to 20,200.56, 30,295.17 and 7,711.98 is: 11,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.56 : 30,295.17 = 7,711.98 : x
  2. Step 2: Convert to fraction form
    20,200.56/30,295.17 = 7,711.98/x
  3. Step 3: Cross multiply
    20,200.56x = 30,295.17 × 7,711.98
  4. Step 4: Simplify right side
    20,200.56x = 233,635,745.14
  5. Step 5: Solve for x
    x = 233,635,745.14/20,200.56
  6. Step 6: Final answer
    x = 11,565.81

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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.