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Finding the Fourth Proportional to 24,376.50, 33,639.57 and 13,198.50

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Solution

The fourth proportional to 24,376.50, 33,639.57 and 13,198.50 is: 18,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.50 : 33,639.57 = 13,198.50 : x
  2. Step 2: Convert to fraction form
    24,376.50/33,639.57 = 13,198.50/x
  3. Step 3: Cross multiply
    24,376.50x = 33,639.57 × 13,198.50
  4. Step 4: Simplify right side
    24,376.50x = 443,991,864.65
  5. Step 5: Solve for x
    x = 443,991,864.65/24,376.50
  6. Step 6: Final answer
    x = 18,213.93

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Why These Related Problems?

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