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Finding the Fourth Proportional to 20,998.38, 31,500.78 and 7,144.14

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Solution

The fourth proportional to 20,998.38, 31,500.78 and 7,144.14 is: 10,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.38 : 31,500.78 = 7,144.14 : x
  2. Step 2: Convert to fraction form
    20,998.38/31,500.78 = 7,144.14/x
  3. Step 3: Cross multiply
    20,998.38x = 31,500.78 × 7,144.14
  4. Step 4: Simplify right side
    20,998.38x = 225,045,982.43
  5. Step 5: Solve for x
    x = 225,045,982.43/20,998.38
  6. Step 6: Final answer
    x = 10,717.30

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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.