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Finding the Fourth Proportional to 20,338.14, 30,498.99 and 6,294.87

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Solution

The fourth proportional to 20,338.14, 30,498.99 and 6,294.87 is: 9,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.14 : 30,498.99 = 6,294.87 : x
  2. Step 2: Convert to fraction form
    20,338.14/30,498.99 = 6,294.87/x
  3. Step 3: Cross multiply
    20,338.14x = 30,498.99 × 6,294.87
  4. Step 4: Simplify right side
    20,338.14x = 191,987,177.18
  5. Step 5: Solve for x
    x = 191,987,177.18/20,338.14
  6. Step 6: Final answer
    x = 9,439.76

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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.