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Finding the Fourth Proportional to 27,542.50, 38,017.65 and 16,211.86

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Solution

The fourth proportional to 27,542.50, 38,017.65 and 16,211.86 is: 22,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.50 : 38,017.65 = 16,211.86 : x
  2. Step 2: Convert to fraction form
    27,542.50/38,017.65 = 16,211.86/x
  3. Step 3: Cross multiply
    27,542.50x = 38,017.65 × 16,211.86
  4. Step 4: Simplify right side
    27,542.50x = 616,336,819.33
  5. Step 5: Solve for x
    x = 616,336,819.33/27,542.50
  6. Step 6: Final answer
    x = 22,377.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.