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Finding the Fourth Proportional to 20,650.68, 30,974.13 and 6,799.68

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Solution

The fourth proportional to 20,650.68, 30,974.13 and 6,799.68 is: 10,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.68 : 30,974.13 = 6,799.68 : x
  2. Step 2: Convert to fraction form
    20,650.68/30,974.13 = 6,799.68/x
  3. Step 3: Cross multiply
    20,650.68x = 30,974.13 × 6,799.68
  4. Step 4: Simplify right side
    20,650.68x = 210,614,172.28
  5. Step 5: Solve for x
    x = 210,614,172.28/20,650.68
  6. Step 6: Final answer
    x = 10,198.90

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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.