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Finding the Fourth Proportional to 12,196.97, 18,296.53 and 3,431.96

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Solution

The fourth proportional to 12,196.97, 18,296.53 and 3,431.96 is: 5,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.97 : 18,296.53 = 3,431.96 : x
  2. Step 2: Convert to fraction form
    12,196.97/18,296.53 = 3,431.96/x
  3. Step 3: Cross multiply
    12,196.97x = 18,296.53 × 3,431.96
  4. Step 4: Simplify right side
    12,196.97x = 62,792,859.04
  5. Step 5: Solve for x
    x = 62,792,859.04/12,196.97
  6. Step 6: Final answer
    x = 5,148.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.