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Finding the Fourth Proportional to 13,186.80, 18,197.80 and 7,444.31

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Solution

The fourth proportional to 13,186.80, 18,197.80 and 7,444.31 is: 10,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.80 : 18,197.80 = 7,444.31 : x
  2. Step 2: Convert to fraction form
    13,186.80/18,197.80 = 7,444.31/x
  3. Step 3: Cross multiply
    13,186.80x = 18,197.80 × 7,444.31
  4. Step 4: Simplify right side
    13,186.80x = 135,469,954.92
  5. Step 5: Solve for x
    x = 135,469,954.92/13,186.80
  6. Step 6: Final answer
    x = 10,273.15

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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.