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Finding the Fourth Proportional to 20,632.43, 30,958.87 and 8,161.40

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Solution

The fourth proportional to 20,632.43, 30,958.87 and 8,161.40 is: 12,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.43 : 30,958.87 = 8,161.40 : x
  2. Step 2: Convert to fraction form
    20,632.43/30,958.87 = 8,161.40/x
  3. Step 3: Cross multiply
    20,632.43x = 30,958.87 × 8,161.40
  4. Step 4: Simplify right side
    20,632.43x = 252,667,721.62
  5. Step 5: Solve for x
    x = 252,667,721.62/20,632.43
  6. Step 6: Final answer
    x = 12,246.14

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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.