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Finding the Fourth Proportional to 24,490.60, 36,717.90 and 7,841.08

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Solution

The fourth proportional to 24,490.60, 36,717.90 and 7,841.08 is: 11,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,490.60 : 36,717.90 = 7,841.08 : x
  2. Step 2: Convert to fraction form
    24,490.60/36,717.90 = 7,841.08/x
  3. Step 3: Cross multiply
    24,490.60x = 36,717.90 × 7,841.08
  4. Step 4: Simplify right side
    24,490.60x = 287,907,991.33
  5. Step 5: Solve for x
    x = 287,907,991.33/24,490.60
  6. Step 6: Final answer
    x = 11,755.86

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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.