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Finding the Fourth Proportional to 16,001, 22,081.38 and 9,377

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Solution

The fourth proportional to 16,001, 22,081.38 and 9,377 is: 12,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001 : 22,081.38 = 9,377 : x
  2. Step 2: Convert to fraction form
    16,001/22,081.38 = 9,377/x
  3. Step 3: Cross multiply
    16,001x = 22,081.38 × 9,377
  4. Step 4: Simplify right side
    16,001x = 207,057,100.26
  5. Step 5: Solve for x
    x = 207,057,100.26/16,001
  6. Step 6: Final answer
    x = 12,940.26

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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.