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Finding the Fourth Proportional to 21,134.70, 31,679.17 and 13,744.46

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Solution

The fourth proportional to 21,134.70, 31,679.17 and 13,744.46 is: 20,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.70 : 31,679.17 = 13,744.46 : x
  2. Step 2: Convert to fraction form
    21,134.70/31,679.17 = 13,744.46/x
  3. Step 3: Cross multiply
    21,134.70x = 31,679.17 × 13,744.46
  4. Step 4: Simplify right side
    21,134.70x = 435,413,084.90
  5. Step 5: Solve for x
    x = 435,413,084.90/21,134.70
  6. Step 6: Final answer
    x = 20,601.81

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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.