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Finding the Fourth Proportional to 27,115.68, 40,674.98 and 8,408.64

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Solution

The fourth proportional to 27,115.68, 40,674.98 and 8,408.64 is: 12,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.68 : 40,674.98 = 8,408.64 : x
  2. Step 2: Convert to fraction form
    27,115.68/40,674.98 = 8,408.64/x
  3. Step 3: Cross multiply
    27,115.68x = 40,674.98 × 8,408.64
  4. Step 4: Simplify right side
    27,115.68x = 342,021,263.83
  5. Step 5: Solve for x
    x = 342,021,263.83/27,115.68
  6. Step 6: Final answer
    x = 12,613.41

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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.