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Finding the Fourth Proportional to 13,682.71, 20,515.42 and 5,781.12

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Solution

The fourth proportional to 13,682.71, 20,515.42 and 5,781.12 is: 8,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.71 : 20,515.42 = 5,781.12 : x
  2. Step 2: Convert to fraction form
    13,682.71/20,515.42 = 5,781.12/x
  3. Step 3: Cross multiply
    13,682.71x = 20,515.42 × 5,781.12
  4. Step 4: Simplify right side
    13,682.71x = 118,602,104.87
  5. Step 5: Solve for x
    x = 118,602,104.87/13,682.71
  6. Step 6: Final answer
    x = 8,668.03

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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.