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Finding the Fourth Proportional to 22,006, 33,009 and 9,694

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Solution

The fourth proportional to 22,006, 33,009 and 9,694 is: 14,541

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006 : 33,009 = 9,694 : x
  2. Step 2: Convert to fraction form
    22,006/33,009 = 9,694/x
  3. Step 3: Cross multiply
    22,006x = 33,009 × 9,694
  4. Step 4: Simplify right side
    22,006x = 319,989,246
  5. Step 5: Solve for x
    x = 319,989,246/22,006
  6. Step 6: Final answer
    x = 14,541

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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.