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Finding the Fourth Proportional to 24,578.60, 36,841.82 and 12,081

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Solution

The fourth proportional to 24,578.60, 36,841.82 and 12,081 is: 18,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.60 : 36,841.82 = 12,081 : x
  2. Step 2: Convert to fraction form
    24,578.60/36,841.82 = 12,081/x
  3. Step 3: Cross multiply
    24,578.60x = 36,841.82 × 12,081
  4. Step 4: Simplify right side
    24,578.60x = 445,086,027.42
  5. Step 5: Solve for x
    x = 445,086,027.42/24,578.60
  6. Step 6: Final answer
    x = 18,108.68

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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.