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Finding the Fourth Proportional to 13,743.69, 20,615.49 and 3,882.93

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Solution

The fourth proportional to 13,743.69, 20,615.49 and 3,882.93 is: 5,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.69 : 20,615.49 = 3,882.93 : x
  2. Step 2: Convert to fraction form
    13,743.69/20,615.49 = 3,882.93/x
  3. Step 3: Cross multiply
    13,743.69x = 20,615.49 × 3,882.93
  4. Step 4: Simplify right side
    13,743.69x = 80,048,504.59
  5. Step 5: Solve for x
    x = 80,048,504.59/13,743.69
  6. Step 6: Final answer
    x = 5,824.38

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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.