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Finding the Fourth Proportional to 27,963.57, 38,589.71 and 16,026.33

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Solution

The fourth proportional to 27,963.57, 38,589.71 and 16,026.33 is: 22,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963.57 : 38,589.71 = 16,026.33 : x
  2. Step 2: Convert to fraction form
    27,963.57/38,589.71 = 16,026.33/x
  3. Step 3: Cross multiply
    27,963.57x = 38,589.71 × 16,026.33
  4. Step 4: Simplify right side
    27,963.57x = 618,451,346.93
  5. Step 5: Solve for x
    x = 618,451,346.93/27,963.57
  6. Step 6: Final answer
    x = 22,116.32

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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.