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Finding the Fourth Proportional to 13,523.44, 20,257.62 and 11,033.50

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Solution

The fourth proportional to 13,523.44, 20,257.62 and 11,033.50 is: 16,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.44 : 20,257.62 = 11,033.50 : x
  2. Step 2: Convert to fraction form
    13,523.44/20,257.62 = 11,033.50/x
  3. Step 3: Cross multiply
    13,523.44x = 20,257.62 × 11,033.50
  4. Step 4: Simplify right side
    13,523.44x = 223,512,450.27
  5. Step 5: Solve for x
    x = 223,512,450.27/13,523.44
  6. Step 6: Final answer
    x = 16,527.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.