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Finding the Fourth Proportional to 20,958.38, 31,439.76 and 6,914.30

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Solution

The fourth proportional to 20,958.38, 31,439.76 and 6,914.30 is: 10,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958.38 : 31,439.76 = 6,914.30 : x
  2. Step 2: Convert to fraction form
    20,958.38/31,439.76 = 6,914.30/x
  3. Step 3: Cross multiply
    20,958.38x = 31,439.76 × 6,914.30
  4. Step 4: Simplify right side
    20,958.38x = 217,383,932.57
  5. Step 5: Solve for x
    x = 217,383,932.57/20,958.38
  6. Step 6: Final answer
    x = 10,372.17

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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.