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Finding the Fourth Proportional to 16,183.60, 24,276.20 and 8,407.60

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Solution

The fourth proportional to 16,183.60, 24,276.20 and 8,407.60 is: 12,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.60 : 24,276.20 = 8,407.60 : x
  2. Step 2: Convert to fraction form
    16,183.60/24,276.20 = 8,407.60/x
  3. Step 3: Cross multiply
    16,183.60x = 24,276.20 × 8,407.60
  4. Step 4: Simplify right side
    16,183.60x = 204,104,579.12
  5. Step 5: Solve for x
    x = 204,104,579.12/16,183.60
  6. Step 6: Final answer
    x = 12,611.82

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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.