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Finding the Fourth Proportional to 13,759.47, 20,642.24 and 5,861.97

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Solution

The fourth proportional to 13,759.47, 20,642.24 and 5,861.97 is: 8,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.47 : 20,642.24 = 5,861.97 : x
  2. Step 2: Convert to fraction form
    13,759.47/20,642.24 = 5,861.97/x
  3. Step 3: Cross multiply
    13,759.47x = 20,642.24 × 5,861.97
  4. Step 4: Simplify right side
    13,759.47x = 121,004,206.27
  5. Step 5: Solve for x
    x = 121,004,206.27/13,759.47
  6. Step 6: Final answer
    x = 8,794.25

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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.