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Finding the Fourth Proportional to 20,098.88, 30,149.50 and 6,770.76

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Solution

The fourth proportional to 20,098.88, 30,149.50 and 6,770.76 is: 10,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.88 : 30,149.50 = 6,770.76 : x
  2. Step 2: Convert to fraction form
    20,098.88/30,149.50 = 6,770.76/x
  3. Step 3: Cross multiply
    20,098.88x = 30,149.50 × 6,770.76
  4. Step 4: Simplify right side
    20,098.88x = 204,135,011.69
  5. Step 5: Solve for x
    x = 204,135,011.69/20,098.88
  6. Step 6: Final answer
    x = 10,156.54

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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.