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Finding the Fourth Proportional to 17,382.09, 26,108.03 and 10,375.78

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Solution

The fourth proportional to 17,382.09, 26,108.03 and 10,375.78 is: 15,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.09 : 26,108.03 = 10,375.78 : x
  2. Step 2: Convert to fraction form
    17,382.09/26,108.03 = 10,375.78/x
  3. Step 3: Cross multiply
    17,382.09x = 26,108.03 × 10,375.78
  4. Step 4: Simplify right side
    17,382.09x = 270,891,175.51
  5. Step 5: Solve for x
    x = 270,891,175.51/17,382.09
  6. Step 6: Final answer
    x = 15,584.50

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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.