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Finding the Fourth Proportional to 20,241.12, 30,355.76 and 7,091.04

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Solution

The fourth proportional to 20,241.12, 30,355.76 and 7,091.04 is: 10,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.12 : 30,355.76 = 7,091.04 : x
  2. Step 2: Convert to fraction form
    20,241.12/30,355.76 = 7,091.04/x
  3. Step 3: Cross multiply
    20,241.12x = 30,355.76 × 7,091.04
  4. Step 4: Simplify right side
    20,241.12x = 215,253,908.39
  5. Step 5: Solve for x
    x = 215,253,908.39/20,241.12
  6. Step 6: Final answer
    x = 10,634.49

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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.