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Finding the Fourth Proportional to 24,217.13, 36,325.73 and 7,578.59

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Solution

The fourth proportional to 24,217.13, 36,325.73 and 7,578.59 is: 11,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.13 : 36,325.73 = 7,578.59 : x
  2. Step 2: Convert to fraction form
    24,217.13/36,325.73 = 7,578.59/x
  3. Step 3: Cross multiply
    24,217.13x = 36,325.73 × 7,578.59
  4. Step 4: Simplify right side
    24,217.13x = 275,297,651.44
  5. Step 5: Solve for x
    x = 275,297,651.44/24,217.13
  6. Step 6: Final answer
    x = 11,367.89

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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.