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Finding the Fourth Proportional to 27,866, 38,472.84 and 17,947.28

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Solution

The fourth proportional to 27,866, 38,472.84 and 17,947.28 is: 24,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866 : 38,472.84 = 17,947.28 : x
  2. Step 2: Convert to fraction form
    27,866/38,472.84 = 17,947.28/x
  3. Step 3: Cross multiply
    27,866x = 38,472.84 × 17,947.28
  4. Step 4: Simplify right side
    27,866x = 690,482,831.88
  5. Step 5: Solve for x
    x = 690,482,831.88/27,866
  6. Step 6: Final answer
    x = 24,778.68

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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.