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Finding the Fourth Proportional to 20,241.98, 30,363.90 and 6,201

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Solution

The fourth proportional to 20,241.98, 30,363.90 and 6,201 is: 9,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.98 : 30,363.90 = 6,201 : x
  2. Step 2: Convert to fraction form
    20,241.98/30,363.90 = 6,201/x
  3. Step 3: Cross multiply
    20,241.98x = 30,363.90 × 6,201
  4. Step 4: Simplify right side
    20,241.98x = 188,286,543.90
  5. Step 5: Solve for x
    x = 188,286,543.90/20,241.98
  6. Step 6: Final answer
    x = 9,301.78

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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.