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Finding the Fourth Proportional to 24,194.45, 36,296.85 and 8,399.97

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Solution

The fourth proportional to 24,194.45, 36,296.85 and 8,399.97 is: 12,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.45 : 36,296.85 = 8,399.97 : x
  2. Step 2: Convert to fraction form
    24,194.45/36,296.85 = 8,399.97/x
  3. Step 3: Cross multiply
    24,194.45x = 36,296.85 × 8,399.97
  4. Step 4: Simplify right side
    24,194.45x = 304,892,451.09
  5. Step 5: Solve for x
    x = 304,892,451.09/24,194.45
  6. Step 6: Final answer
    x = 12,601.75

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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.