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Finding the Fourth Proportional to 13,197.82, 18,212.97 and 7,229.74

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Solution

The fourth proportional to 13,197.82, 18,212.97 and 7,229.74 is: 9,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.82 : 18,212.97 = 7,229.74 : x
  2. Step 2: Convert to fraction form
    13,197.82/18,212.97 = 7,229.74/x
  3. Step 3: Cross multiply
    13,197.82x = 18,212.97 × 7,229.74
  4. Step 4: Simplify right side
    13,197.82x = 131,675,037.73
  5. Step 5: Solve for x
    x = 131,675,037.73/13,197.82
  6. Step 6: Final answer
    x = 9,977.03

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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.