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Finding the Fourth Proportional to 24,262.62, 36,381.78 and 7,622.43

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Solution

The fourth proportional to 24,262.62, 36,381.78 and 7,622.43 is: 11,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.62 : 36,381.78 = 7,622.43 : x
  2. Step 2: Convert to fraction form
    24,262.62/36,381.78 = 7,622.43/x
  3. Step 3: Cross multiply
    24,262.62x = 36,381.78 × 7,622.43
  4. Step 4: Simplify right side
    24,262.62x = 277,317,571.33
  5. Step 5: Solve for x
    x = 277,317,571.33/24,262.62
  6. Step 6: Final answer
    x = 11,429.83

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