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Finding the Fourth Proportional to 27,115.44, 40,674.60 and 8,408.40

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Solution

The fourth proportional to 27,115.44, 40,674.60 and 8,408.40 is: 12,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.44 : 40,674.60 = 8,408.40 : x
  2. Step 2: Convert to fraction form
    27,115.44/40,674.60 = 8,408.40/x
  3. Step 3: Cross multiply
    27,115.44x = 40,674.60 × 8,408.40
  4. Step 4: Simplify right side
    27,115.44x = 342,008,306.64
  5. Step 5: Solve for x
    x = 342,008,306.64/27,115.44
  6. Step 6: Final answer
    x = 12,613.05

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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.