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Finding the Fourth Proportional to 13,814.75, 20,722.03 and 3,426.50

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Solution

The fourth proportional to 13,814.75, 20,722.03 and 3,426.50 is: 5,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.75 : 20,722.03 = 3,426.50 : x
  2. Step 2: Convert to fraction form
    13,814.75/20,722.03 = 3,426.50/x
  3. Step 3: Cross multiply
    13,814.75x = 20,722.03 × 3,426.50
  4. Step 4: Simplify right side
    13,814.75x = 71,004,079.03
  5. Step 5: Solve for x
    x = 71,004,079.03/13,814.75
  6. Step 6: Final answer
    x = 5,139.73

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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.