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Finding the Fourth Proportional to 20,109.50, 30,163.02 and 9,013.21

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Solution

The fourth proportional to 20,109.50, 30,163.02 and 9,013.21 is: 13,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.50 : 30,163.02 = 9,013.21 : x
  2. Step 2: Convert to fraction form
    20,109.50/30,163.02 = 9,013.21/x
  3. Step 3: Cross multiply
    20,109.50x = 30,163.02 × 9,013.21
  4. Step 4: Simplify right side
    20,109.50x = 271,865,633.49
  5. Step 5: Solve for x
    x = 271,865,633.49/20,109.50
  6. Step 6: Final answer
    x = 13,519.26

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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.