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Finding the Fourth Proportional to 27,234.54, 40,860 and 8,516.57

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Solution

The fourth proportional to 27,234.54, 40,860 and 8,516.57 is: 12,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.54 : 40,860 = 8,516.57 : x
  2. Step 2: Convert to fraction form
    27,234.54/40,860 = 8,516.57/x
  3. Step 3: Cross multiply
    27,234.54x = 40,860 × 8,516.57
  4. Step 4: Simplify right side
    27,234.54x = 347,986,845.90
  5. Step 5: Solve for x
    x = 347,986,845.90/27,234.54
  6. Step 6: Final answer
    x = 12,777.41

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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.