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Finding the Fourth Proportional to 16,831, 25,253.66 and 6,977.44

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Solution

The fourth proportional to 16,831, 25,253.66 and 6,977.44 is: 10,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831 : 25,253.66 = 6,977.44 : x
  2. Step 2: Convert to fraction form
    16,831/25,253.66 = 6,977.44/x
  3. Step 3: Cross multiply
    16,831x = 25,253.66 × 6,977.44
  4. Step 4: Simplify right side
    16,831x = 176,205,897.43
  5. Step 5: Solve for x
    x = 176,205,897.43/16,831
  6. Step 6: Final answer
    x = 10,469.13

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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.