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Finding the Fourth Proportional to 20,241.75, 30,363.54 and 6,200.76

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Solution

The fourth proportional to 20,241.75, 30,363.54 and 6,200.76 is: 9,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.75 : 30,363.54 = 6,200.76 : x
  2. Step 2: Convert to fraction form
    20,241.75/30,363.54 = 6,200.76/x
  3. Step 3: Cross multiply
    20,241.75x = 30,363.54 × 6,200.76
  4. Step 4: Simplify right side
    20,241.75x = 188,276,872.47
  5. Step 5: Solve for x
    x = 188,276,872.47/20,241.75
  6. Step 6: Final answer
    x = 9,301.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.