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Finding the Fourth Proportional to 16,099.66, 24,137.49 and 8,195.78

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Solution

The fourth proportional to 16,099.66, 24,137.49 and 8,195.78 is: 12,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.66 : 24,137.49 = 8,195.78 : x
  2. Step 2: Convert to fraction form
    16,099.66/24,137.49 = 8,195.78/x
  3. Step 3: Cross multiply
    16,099.66x = 24,137.49 × 8,195.78
  4. Step 4: Simplify right side
    16,099.66x = 197,825,648.87
  5. Step 5: Solve for x
    x = 197,825,648.87/16,099.66
  6. Step 6: Final answer
    x = 12,287.57

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1.5x scale

Why These Related Problems?

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