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Finding the Fourth Proportional to 13,197.38, 18,212.15 and 7,229.03

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Solution

The fourth proportional to 13,197.38, 18,212.15 and 7,229.03 is: 9,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.38 : 18,212.15 = 7,229.03 : x
  2. Step 2: Convert to fraction form
    13,197.38/18,212.15 = 7,229.03/x
  3. Step 3: Cross multiply
    13,197.38x = 18,212.15 × 7,229.03
  4. Step 4: Simplify right side
    13,197.38x = 131,656,105.73
  5. Step 5: Solve for x
    x = 131,656,105.73/13,197.38
  6. Step 6: Final answer
    x = 9,975.93

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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.