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Finding the Fourth Proportional to 24,917.76, 34,375.68 and 14,976

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Solution

The fourth proportional to 24,917.76, 34,375.68 and 14,976 is: 20,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,917.76 : 34,375.68 = 14,976 : x
  2. Step 2: Convert to fraction form
    24,917.76/34,375.68 = 14,976/x
  3. Step 3: Cross multiply
    24,917.76x = 34,375.68 × 14,976
  4. Step 4: Simplify right side
    24,917.76x = 514,810,183.68
  5. Step 5: Solve for x
    x = 514,810,183.68/24,917.76
  6. Step 6: Final answer
    x = 20,660.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.