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Finding the Fourth Proportional to 21,171.38, 31,758.89 and 5,589

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Solution

The fourth proportional to 21,171.38, 31,758.89 and 5,589 is: 8,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.38 : 31,758.89 = 5,589 : x
  2. Step 2: Convert to fraction form
    21,171.38/31,758.89 = 5,589/x
  3. Step 3: Cross multiply
    21,171.38x = 31,758.89 × 5,589
  4. Step 4: Simplify right side
    21,171.38x = 177,500,408.27
  5. Step 5: Solve for x
    x = 177,500,408.27/21,171.38
  6. Step 6: Final answer
    x = 8,383.98

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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.