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Finding the Fourth Proportional to 21,171.43, 31,759.17 and 8,020.27

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Solution

The fourth proportional to 21,171.43, 31,759.17 and 8,020.27 is: 12,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.43 : 31,759.17 = 8,020.27 : x
  2. Step 2: Convert to fraction form
    21,171.43/31,759.17 = 8,020.27/x
  3. Step 3: Cross multiply
    21,171.43x = 31,759.17 × 8,020.27
  4. Step 4: Simplify right side
    21,171.43x = 254,717,118.38
  5. Step 5: Solve for x
    x = 254,717,118.38/21,171.43
  6. Step 6: Final answer
    x = 12,031.17

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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.