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Finding the Fourth Proportional to 17,081, 23,571.78 and 9,629

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Solution

The fourth proportional to 17,081, 23,571.78 and 9,629 is: 13,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,081 : 23,571.78 = 9,629 : x
  2. Step 2: Convert to fraction form
    17,081/23,571.78 = 9,629/x
  3. Step 3: Cross multiply
    17,081x = 23,571.78 × 9,629
  4. Step 4: Simplify right side
    17,081x = 226,972,669.62
  5. Step 5: Solve for x
    x = 226,972,669.62/17,081
  6. Step 6: Final answer
    x = 13,288.02

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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.