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Finding the Fourth Proportional to 27,874.80, 41,811.96 and 12,292.44

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Solution

The fourth proportional to 27,874.80, 41,811.96 and 12,292.44 is: 18,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.80 : 41,811.96 = 12,292.44 : x
  2. Step 2: Convert to fraction form
    27,874.80/41,811.96 = 12,292.44/x
  3. Step 3: Cross multiply
    27,874.80x = 41,811.96 × 12,292.44
  4. Step 4: Simplify right side
    27,874.80x = 513,971,009.58
  5. Step 5: Solve for x
    x = 513,971,009.58/27,874.80
  6. Step 6: Final answer
    x = 18,438.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.