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Finding the Fourth Proportional to 12,408.24, 18,624.60 and 5,487.60

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Solution

The fourth proportional to 12,408.24, 18,624.60 and 5,487.60 is: 8,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.24 : 18,624.60 = 5,487.60 : x
  2. Step 2: Convert to fraction form
    12,408.24/18,624.60 = 5,487.60/x
  3. Step 3: Cross multiply
    12,408.24x = 18,624.60 × 5,487.60
  4. Step 4: Simplify right side
    12,408.24x = 102,204,354.96
  5. Step 5: Solve for x
    x = 102,204,354.96/12,408.24
  6. Step 6: Final answer
    x = 8,236.81

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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.