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Finding the Fourth Proportional to 16,161.68, 24,251.88 and 6,801

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Solution

The fourth proportional to 16,161.68, 24,251.88 and 6,801 is: 10,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.68 : 24,251.88 = 6,801 : x
  2. Step 2: Convert to fraction form
    16,161.68/24,251.88 = 6,801/x
  3. Step 3: Cross multiply
    16,161.68x = 24,251.88 × 6,801
  4. Step 4: Simplify right side
    16,161.68x = 164,937,035.88
  5. Step 5: Solve for x
    x = 164,937,035.88/16,161.68
  6. Step 6: Final answer
    x = 10,205.44

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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.