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Finding the Fourth Proportional to 12,408.60, 18,591.30 and 8,023.80

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Solution

The fourth proportional to 12,408.60, 18,591.30 and 8,023.80 is: 12,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.60 : 18,591.30 = 8,023.80 : x
  2. Step 2: Convert to fraction form
    12,408.60/18,591.30 = 8,023.80/x
  3. Step 3: Cross multiply
    12,408.60x = 18,591.30 × 8,023.80
  4. Step 4: Simplify right side
    12,408.60x = 149,172,872.94
  5. Step 5: Solve for x
    x = 149,172,872.94/12,408.60
  6. Step 6: Final answer
    x = 12,021.73

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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.