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Finding the Fourth Proportional to 27,551.80, 38,021.13 and 16,221.76

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Solution

The fourth proportional to 27,551.80, 38,021.13 and 16,221.76 is: 22,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.80 : 38,021.13 = 16,221.76 : x
  2. Step 2: Convert to fraction form
    27,551.80/38,021.13 = 16,221.76/x
  3. Step 3: Cross multiply
    27,551.80x = 38,021.13 × 16,221.76
  4. Step 4: Simplify right side
    27,551.80x = 616,769,645.79
  5. Step 5: Solve for x
    x = 616,769,645.79/27,551.80
  6. Step 6: Final answer
    x = 22,385.82

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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.