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Finding the Fourth Proportional to 13,197.86, 18,212.78 and 7,229.24

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Solution

The fourth proportional to 13,197.86, 18,212.78 and 7,229.24 is: 9,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.86 : 18,212.78 = 7,229.24 : x
  2. Step 2: Convert to fraction form
    13,197.86/18,212.78 = 7,229.24/x
  3. Step 3: Cross multiply
    13,197.86x = 18,212.78 × 7,229.24
  4. Step 4: Simplify right side
    13,197.86x = 131,664,557.69
  5. Step 5: Solve for x
    x = 131,664,557.69/13,197.86
  6. Step 6: Final answer
    x = 9,976.21

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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.