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Finding the Fourth Proportional to 27,120.44, 40,682.10 and 8,651

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Solution

The fourth proportional to 27,120.44, 40,682.10 and 8,651 is: 12,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.44 : 40,682.10 = 8,651 : x
  2. Step 2: Convert to fraction form
    27,120.44/40,682.10 = 8,651/x
  3. Step 3: Cross multiply
    27,120.44x = 40,682.10 × 8,651
  4. Step 4: Simplify right side
    27,120.44x = 351,940,847.10
  5. Step 5: Solve for x
    x = 351,940,847.10/27,120.44
  6. Step 6: Final answer
    x = 12,976.96

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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.