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Finding the Fourth Proportional to 16,828, 25,249.16 and 6,974.44

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Solution

The fourth proportional to 16,828, 25,249.16 and 6,974.44 is: 10,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828 : 25,249.16 = 6,974.44 : x
  2. Step 2: Convert to fraction form
    16,828/25,249.16 = 6,974.44/x
  3. Step 3: Cross multiply
    16,828x = 25,249.16 × 6,974.44
  4. Step 4: Simplify right side
    16,828x = 176,098,751.47
  5. Step 5: Solve for x
    x = 176,098,751.47/16,828
  6. Step 6: Final answer
    x = 10,464.63

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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.