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Finding the Fourth Proportional to 24,107.40, 36,163.80 and 7,467.30

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Solution

The fourth proportional to 24,107.40, 36,163.80 and 7,467.30 is: 11,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.40 : 36,163.80 = 7,467.30 : x
  2. Step 2: Convert to fraction form
    24,107.40/36,163.80 = 7,467.30/x
  3. Step 3: Cross multiply
    24,107.40x = 36,163.80 × 7,467.30
  4. Step 4: Simplify right side
    24,107.40x = 270,045,943.74
  5. Step 5: Solve for x
    x = 270,045,943.74/24,107.40
  6. Step 6: Final answer
    x = 11,201.79

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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.