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Finding the Fourth Proportional to 27,704.28, 41,531.77 and 10,170

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Solution

The fourth proportional to 27,704.28, 41,531.77 and 10,170 is: 15,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.28 : 41,531.77 = 10,170 : x
  2. Step 2: Convert to fraction form
    27,704.28/41,531.77 = 10,170/x
  3. Step 3: Cross multiply
    27,704.28x = 41,531.77 × 10,170
  4. Step 4: Simplify right side
    27,704.28x = 422,378,100.90
  5. Step 5: Solve for x
    x = 422,378,100.90/27,704.28
  6. Step 6: Final answer
    x = 15,245.95

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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.