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Finding the Fourth Proportional to 12,408.80, 18,580.80 and 8,002.40

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Solution

The fourth proportional to 12,408.80, 18,580.80 and 8,002.40 is: 11,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.80 : 18,580.80 = 8,002.40 : x
  2. Step 2: Convert to fraction form
    12,408.80/18,580.80 = 8,002.40/x
  3. Step 3: Cross multiply
    12,408.80x = 18,580.80 × 8,002.40
  4. Step 4: Simplify right side
    12,408.80x = 148,690,993.92
  5. Step 5: Solve for x
    x = 148,690,993.92/12,408.80
  6. Step 6: Final answer
    x = 11,982.71

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