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Finding the Fourth Proportional to 20,711.56, 31,063.50 and 6,858.76

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Solution

The fourth proportional to 20,711.56, 31,063.50 and 6,858.76 is: 10,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.56 : 31,063.50 = 6,858.76 : x
  2. Step 2: Convert to fraction form
    20,711.56/31,063.50 = 6,858.76/x
  3. Step 3: Cross multiply
    20,711.56x = 31,063.50 × 6,858.76
  4. Step 4: Simplify right side
    20,711.56x = 213,057,091.26
  5. Step 5: Solve for x
    x = 213,057,091.26/20,711.56
  6. Step 6: Final answer
    x = 10,286.87

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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.