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Finding the Fourth Proportional to 13,744.26, 18,982.53 and 9,260.16

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Solution

The fourth proportional to 13,744.26, 18,982.53 and 9,260.16 is: 12,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.26 : 18,982.53 = 9,260.16 : x
  2. Step 2: Convert to fraction form
    13,744.26/18,982.53 = 9,260.16/x
  3. Step 3: Cross multiply
    13,744.26x = 18,982.53 × 9,260.16
  4. Step 4: Simplify right side
    13,744.26x = 175,781,265.00
  5. Step 5: Solve for x
    x = 175,781,265.00/13,744.26
  6. Step 6: Final answer
    x = 12,789.43

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