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Finding the Fourth Proportional to 24,807.65, 37,203.62 and 8,163.97

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Solution

The fourth proportional to 24,807.65, 37,203.62 and 8,163.97 is: 12,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.65 : 37,203.62 = 8,163.97 : x
  2. Step 2: Convert to fraction form
    24,807.65/37,203.62 = 8,163.97/x
  3. Step 3: Cross multiply
    24,807.65x = 37,203.62 × 8,163.97
  4. Step 4: Simplify right side
    24,807.65x = 303,729,237.57
  5. Step 5: Solve for x
    x = 303,729,237.57/24,807.65
  6. Step 6: Final answer
    x = 12,243.37

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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.