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Finding the Fourth Proportional to 13,517.63, 18,667.17 and 12,781.34

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Solution

The fourth proportional to 13,517.63, 18,667.17 and 12,781.34 is: 17,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.63 : 18,667.17 = 12,781.34 : x
  2. Step 2: Convert to fraction form
    13,517.63/18,667.17 = 12,781.34/x
  3. Step 3: Cross multiply
    13,517.63x = 18,667.17 × 12,781.34
  4. Step 4: Simplify right side
    13,517.63x = 238,591,382.70
  5. Step 5: Solve for x
    x = 238,591,382.70/13,517.63
  6. Step 6: Final answer
    x = 17,650.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.