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Finding the Fourth Proportional to 16,099.70, 24,149.55 and 8,202.20

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Solution

The fourth proportional to 16,099.70, 24,149.55 and 8,202.20 is: 12,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.70 : 24,149.55 = 8,202.20 : x
  2. Step 2: Convert to fraction form
    16,099.70/24,149.55 = 8,202.20/x
  3. Step 3: Cross multiply
    16,099.70x = 24,149.55 × 8,202.20
  4. Step 4: Simplify right side
    16,099.70x = 198,079,439.01
  5. Step 5: Solve for x
    x = 198,079,439.01/16,099.70
  6. Step 6: Final answer
    x = 12,303.30

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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.