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Finding the Fourth Proportional to 24,107.89, 36,161.22 and 7,467.25

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Solution

The fourth proportional to 24,107.89, 36,161.22 and 7,467.25 is: 11,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.89 : 36,161.22 = 7,467.25 : x
  2. Step 2: Convert to fraction form
    24,107.89/36,161.22 = 7,467.25/x
  3. Step 3: Cross multiply
    24,107.89x = 36,161.22 × 7,467.25
  4. Step 4: Simplify right side
    24,107.89x = 270,024,870.05
  5. Step 5: Solve for x
    x = 270,024,870.05/24,107.89
  6. Step 6: Final answer
    x = 11,200.68

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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.