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Finding the Fourth Proportional to 13,760.37, 20,635.17 and 4,872.27

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Solution

The fourth proportional to 13,760.37, 20,635.17 and 4,872.27 is: 7,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.37 : 20,635.17 = 4,872.27 : x
  2. Step 2: Convert to fraction form
    13,760.37/20,635.17 = 4,872.27/x
  3. Step 3: Cross multiply
    13,760.37x = 20,635.17 × 4,872.27
  4. Step 4: Simplify right side
    13,760.37x = 100,540,119.74
  5. Step 5: Solve for x
    x = 100,540,119.74/13,760.37
  6. Step 6: Final answer
    x = 7,306.50

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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.