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Finding the Fourth Proportional to 20,086.32, 30,127.80 and 6,234

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Solution

The fourth proportional to 20,086.32, 30,127.80 and 6,234 is: 9,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.32 : 30,127.80 = 6,234 : x
  2. Step 2: Convert to fraction form
    20,086.32/30,127.80 = 6,234/x
  3. Step 3: Cross multiply
    20,086.32x = 30,127.80 × 6,234
  4. Step 4: Simplify right side
    20,086.32x = 187,816,705.20
  5. Step 5: Solve for x
    x = 187,816,705.20/20,086.32
  6. Step 6: Final answer
    x = 9,350.48

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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.