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Finding the Fourth Proportional to 24,634.40, 36,942.05 and 7,990.43

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Solution

The fourth proportional to 24,634.40, 36,942.05 and 7,990.43 is: 11,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.40 : 36,942.05 = 7,990.43 : x
  2. Step 2: Convert to fraction form
    24,634.40/36,942.05 = 7,990.43/x
  3. Step 3: Cross multiply
    24,634.40x = 36,942.05 × 7,990.43
  4. Step 4: Simplify right side
    24,634.40x = 295,182,699.85
  5. Step 5: Solve for x
    x = 295,182,699.85/24,634.40
  6. Step 6: Final answer
    x = 11,982.54

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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.