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Finding the Fourth Proportional to 16,187.60, 24,282.20 and 8,411.60

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Solution

The fourth proportional to 16,187.60, 24,282.20 and 8,411.60 is: 12,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.60 : 24,282.20 = 8,411.60 : x
  2. Step 2: Convert to fraction form
    16,187.60/24,282.20 = 8,411.60/x
  3. Step 3: Cross multiply
    16,187.60x = 24,282.20 × 8,411.60
  4. Step 4: Simplify right side
    16,187.60x = 204,252,153.52
  5. Step 5: Solve for x
    x = 204,252,153.52/16,187.60
  6. Step 6: Final answer
    x = 12,617.82

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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.