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Finding the Fourth Proportional to 12,196.97, 18,284.52 and 4,403.96

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Solution

The fourth proportional to 12,196.97, 18,284.52 and 4,403.96 is: 6,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.97 : 18,284.52 = 4,403.96 : x
  2. Step 2: Convert to fraction form
    12,196.97/18,284.52 = 4,403.96/x
  3. Step 3: Cross multiply
    12,196.97x = 18,284.52 × 4,403.96
  4. Step 4: Simplify right side
    12,196.97x = 80,524,294.70
  5. Step 5: Solve for x
    x = 80,524,294.70/12,196.97
  6. Step 6: Final answer
    x = 6,601.99

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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.