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Finding the Fourth Proportional to 27,745.25, 38,286.51 and 17,524.36

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Solution

The fourth proportional to 27,745.25, 38,286.51 and 17,524.36 is: 24,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.25 : 38,286.51 = 17,524.36 : x
  2. Step 2: Convert to fraction form
    27,745.25/38,286.51 = 17,524.36/x
  3. Step 3: Cross multiply
    27,745.25x = 38,286.51 × 17,524.36
  4. Step 4: Simplify right side
    27,745.25x = 670,946,566.53
  5. Step 5: Solve for x
    x = 670,946,566.53/27,745.25
  6. Step 6: Final answer
    x = 24,182.40

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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.