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Finding the Fourth Proportional to 20,809.74, 31,218.92 and 6,958.38

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Solution

The fourth proportional to 20,809.74, 31,218.92 and 6,958.38 is: 10,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.74 : 31,218.92 = 6,958.38 : x
  2. Step 2: Convert to fraction form
    20,809.74/31,218.92 = 6,958.38/x
  3. Step 3: Cross multiply
    20,809.74x = 31,218.92 × 6,958.38
  4. Step 4: Simplify right side
    20,809.74x = 217,233,108.55
  5. Step 5: Solve for x
    x = 217,233,108.55/20,809.74
  6. Step 6: Final answer
    x = 10,439.01

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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.