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Finding the Fourth Proportional to 27,874.67, 38,454.49 and 16,544.66

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Solution

The fourth proportional to 27,874.67, 38,454.49 and 16,544.66 is: 22,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.67 : 38,454.49 = 16,544.66 : x
  2. Step 2: Convert to fraction form
    27,874.67/38,454.49 = 16,544.66/x
  3. Step 3: Cross multiply
    27,874.67x = 38,454.49 × 16,544.66
  4. Step 4: Simplify right side
    27,874.67x = 636,216,290.93
  5. Step 5: Solve for x
    x = 636,216,290.93/27,874.67
  6. Step 6: Final answer
    x = 22,824.18

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1.5x scale

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.