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Finding the Fourth Proportional to 22,321, 33,481.50 and 17,394.33

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Solution

The fourth proportional to 22,321, 33,481.50 and 17,394.33 is: 26,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321 : 33,481.50 = 17,394.33 : x
  2. Step 2: Convert to fraction form
    22,321/33,481.50 = 17,394.33/x
  3. Step 3: Cross multiply
    22,321x = 33,481.50 × 17,394.33
  4. Step 4: Simplify right side
    22,321x = 582,388,092.49
  5. Step 5: Solve for x
    x = 582,388,092.49/22,321
  6. Step 6: Final answer
    x = 26,091.49

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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.