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Finding the Fourth Proportional to 17,202.44, 23,755.39 and 16,270.46

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Solution

The fourth proportional to 17,202.44, 23,755.39 and 16,270.46 is: 22,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.44 : 23,755.39 = 16,270.46 : x
  2. Step 2: Convert to fraction form
    17,202.44/23,755.39 = 16,270.46/x
  3. Step 3: Cross multiply
    17,202.44x = 23,755.39 × 16,270.46
  4. Step 4: Simplify right side
    17,202.44x = 386,511,122.78
  5. Step 5: Solve for x
    x = 386,511,122.78/17,202.44
  6. Step 6: Final answer
    x = 22,468.39

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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.