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Finding the Fourth Proportional to 20,949.85, 31,424.78 and 6,158.90

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Solution

The fourth proportional to 20,949.85, 31,424.78 and 6,158.90 is: 9,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,949.85 : 31,424.78 = 6,158.90 : x
  2. Step 2: Convert to fraction form
    20,949.85/31,424.78 = 6,158.90/x
  3. Step 3: Cross multiply
    20,949.85x = 31,424.78 × 6,158.90
  4. Step 4: Simplify right side
    20,949.85x = 193,542,171.50
  5. Step 5: Solve for x
    x = 193,542,171.50/20,949.85
  6. Step 6: Final answer
    x = 9,238.36

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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.