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Finding the Fourth Proportional to 20,096.68, 30,149.34 and 6,771

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Solution

The fourth proportional to 20,096.68, 30,149.34 and 6,771 is: 10,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.68 : 30,149.34 = 6,771 : x
  2. Step 2: Convert to fraction form
    20,096.68/30,149.34 = 6,771/x
  3. Step 3: Cross multiply
    20,096.68x = 30,149.34 × 6,771
  4. Step 4: Simplify right side
    20,096.68x = 204,141,193.84
  5. Step 5: Solve for x
    x = 204,141,193.84/20,096.68
  6. Step 6: Final answer
    x = 10,157.96

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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.