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Finding the Fourth Proportional to 20,101.50, 30,154.41 and 9,013.14

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Solution

The fourth proportional to 20,101.50, 30,154.41 and 9,013.14 is: 13,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.50 : 30,154.41 = 9,013.14 : x
  2. Step 2: Convert to fraction form
    20,101.50/30,154.41 = 9,013.14/x
  3. Step 3: Cross multiply
    20,101.50x = 30,154.41 × 9,013.14
  4. Step 4: Simplify right side
    20,101.50x = 271,785,918.95
  5. Step 5: Solve for x
    x = 271,785,918.95/20,101.50
  6. Step 6: Final answer
    x = 13,520.68

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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.