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Finding the Fourth Proportional to 20,212.62, 30,323.73 and 6,361.50

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Solution

The fourth proportional to 20,212.62, 30,323.73 and 6,361.50 is: 9,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.62 : 30,323.73 = 6,361.50 : x
  2. Step 2: Convert to fraction form
    20,212.62/30,323.73 = 6,361.50/x
  3. Step 3: Cross multiply
    20,212.62x = 30,323.73 × 6,361.50
  4. Step 4: Simplify right side
    20,212.62x = 192,904,408.40
  5. Step 5: Solve for x
    x = 192,904,408.40/20,212.62
  6. Step 6: Final answer
    x = 9,543.76

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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.