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Finding the Fourth Proportional to 20,115.92, 30,176.76 and 6,266

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Solution

The fourth proportional to 20,115.92, 30,176.76 and 6,266 is: 9,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.92 : 30,176.76 = 6,266 : x
  2. Step 2: Convert to fraction form
    20,115.92/30,176.76 = 6,266/x
  3. Step 3: Cross multiply
    20,115.92x = 30,176.76 × 6,266
  4. Step 4: Simplify right side
    20,115.92x = 189,087,578.16
  5. Step 5: Solve for x
    x = 189,087,578.16/20,115.92
  6. Step 6: Final answer
    x = 9,399.90

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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.