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Finding the Fourth Proportional to 27,638.35, 38,147.07 and 17,564.82

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Solution

The fourth proportional to 27,638.35, 38,147.07 and 17,564.82 is: 24,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.35 : 38,147.07 = 17,564.82 : x
  2. Step 2: Convert to fraction form
    27,638.35/38,147.07 = 17,564.82/x
  3. Step 3: Cross multiply
    27,638.35x = 38,147.07 × 17,564.82
  4. Step 4: Simplify right side
    27,638.35x = 670,046,418.08
  5. Step 5: Solve for x
    x = 670,046,418.08/27,638.35
  6. Step 6: Final answer
    x = 24,243.36

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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.