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Finding the Fourth Proportional to 24,180.92, 36,249.49 and 8,594.90

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Solution

The fourth proportional to 24,180.92, 36,249.49 and 8,594.90 is: 12,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.92 : 36,249.49 = 8,594.90 : x
  2. Step 2: Convert to fraction form
    24,180.92/36,249.49 = 8,594.90/x
  3. Step 3: Cross multiply
    24,180.92x = 36,249.49 × 8,594.90
  4. Step 4: Simplify right side
    24,180.92x = 311,560,810.74
  5. Step 5: Solve for x
    x = 311,560,810.74/24,180.92
  6. Step 6: Final answer
    x = 12,884.57

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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.