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Finding the Fourth Proportional to 13,197.68, 18,212.80 and 7,229.37

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Solution

The fourth proportional to 13,197.68, 18,212.80 and 7,229.37 is: 9,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.68 : 18,212.80 = 7,229.37 : x
  2. Step 2: Convert to fraction form
    13,197.68/18,212.80 = 7,229.37/x
  3. Step 3: Cross multiply
    13,197.68x = 18,212.80 × 7,229.37
  4. Step 4: Simplify right side
    13,197.68x = 131,667,031.27
  5. Step 5: Solve for x
    x = 131,667,031.27/13,197.68
  6. Step 6: Final answer
    x = 9,976.53

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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.