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Finding the Fourth Proportional to 18,363.97, 27,537.75 and 5,213.26

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Solution

The fourth proportional to 18,363.97, 27,537.75 and 5,213.26 is: 7,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,363.97 : 27,537.75 = 5,213.26 : x
  2. Step 2: Convert to fraction form
    18,363.97/27,537.75 = 5,213.26/x
  3. Step 3: Cross multiply
    18,363.97x = 27,537.75 × 5,213.26
  4. Step 4: Simplify right side
    18,363.97x = 143,561,470.32
  5. Step 5: Solve for x
    x = 143,561,470.32/18,363.97
  6. Step 6: Final answer
    x = 7,817.56

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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.