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Finding the Fourth Proportional to 17,112.38, 23,608.59 and 11,149.16

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Solution

The fourth proportional to 17,112.38, 23,608.59 and 11,149.16 is: 15,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112.38 : 23,608.59 = 11,149.16 : x
  2. Step 2: Convert to fraction form
    17,112.38/23,608.59 = 11,149.16/x
  3. Step 3: Cross multiply
    17,112.38x = 23,608.59 × 11,149.16
  4. Step 4: Simplify right side
    17,112.38x = 263,215,947.28
  5. Step 5: Solve for x
    x = 263,215,947.28/17,112.38
  6. Step 6: Final answer
    x = 15,381.61

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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.