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Finding the Fourth Proportional to 18,553.97, 27,824.03 and 7,456.90

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Solution

The fourth proportional to 18,553.97, 27,824.03 and 7,456.90 is: 11,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.97 : 27,824.03 = 7,456.90 : x
  2. Step 2: Convert to fraction form
    18,553.97/27,824.03 = 7,456.90/x
  3. Step 3: Cross multiply
    18,553.97x = 27,824.03 × 7,456.90
  4. Step 4: Simplify right side
    18,553.97x = 207,481,009.31
  5. Step 5: Solve for x
    x = 207,481,009.31/18,553.97
  6. Step 6: Final answer
    x = 11,182.57

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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.