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Finding the Fourth Proportional to 24,391.50, 33,660.27 and 13,213.50

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Solution

The fourth proportional to 24,391.50, 33,660.27 and 13,213.50 is: 18,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391.50 : 33,660.27 = 13,213.50 : x
  2. Step 2: Convert to fraction form
    24,391.50/33,660.27 = 13,213.50/x
  3. Step 3: Cross multiply
    24,391.50x = 33,660.27 × 13,213.50
  4. Step 4: Simplify right side
    24,391.50x = 444,769,977.65
  5. Step 5: Solve for x
    x = 444,769,977.65/24,391.50
  6. Step 6: Final answer
    x = 18,234.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.