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Finding the Fourth Proportional to 24,874.80, 34,327.46 and 14,262.38

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Solution

The fourth proportional to 24,874.80, 34,327.46 and 14,262.38 is: 19,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.80 : 34,327.46 = 14,262.38 : x
  2. Step 2: Convert to fraction form
    24,874.80/34,327.46 = 14,262.38/x
  3. Step 3: Cross multiply
    24,874.80x = 34,327.46 × 14,262.38
  4. Step 4: Simplify right side
    24,874.80x = 489,591,278.95
  5. Step 5: Solve for x
    x = 489,591,278.95/24,874.80
  6. Step 6: Final answer
    x = 19,682.22

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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.