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Finding the Fourth Proportional to 13,754.70, 20,632.11 and 3,366.48

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Solution

The fourth proportional to 13,754.70, 20,632.11 and 3,366.48 is: 5,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.70 : 20,632.11 = 3,366.48 : x
  2. Step 2: Convert to fraction form
    13,754.70/20,632.11 = 3,366.48/x
  3. Step 3: Cross multiply
    13,754.70x = 20,632.11 × 3,366.48
  4. Step 4: Simplify right side
    13,754.70x = 69,457,585.67
  5. Step 5: Solve for x
    x = 69,457,585.67/13,754.70
  6. Step 6: Final answer
    x = 5,049.73

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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.