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Finding the Fourth Proportional to 13,781.75, 20,549.14 and 13,532.97

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Solution

The fourth proportional to 13,781.75, 20,549.14 and 13,532.97 is: 20,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.75 : 20,549.14 = 13,532.97 : x
  2. Step 2: Convert to fraction form
    13,781.75/20,549.14 = 13,532.97/x
  3. Step 3: Cross multiply
    13,781.75x = 20,549.14 × 13,532.97
  4. Step 4: Simplify right side
    13,781.75x = 278,091,014.50
  5. Step 5: Solve for x
    x = 278,091,014.50/13,781.75
  6. Step 6: Final answer
    x = 20,178.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.