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Finding the Fourth Proportional to 20,241.57, 30,364.38 and 6,201.43

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Solution

The fourth proportional to 20,241.57, 30,364.38 and 6,201.43 is: 9,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.57 : 30,364.38 = 6,201.43 : x
  2. Step 2: Convert to fraction form
    20,241.57/30,364.38 = 6,201.43/x
  3. Step 3: Cross multiply
    20,241.57x = 30,364.38 × 6,201.43
  4. Step 4: Simplify right side
    20,241.57x = 188,302,577.06
  5. Step 5: Solve for x
    x = 188,302,577.06/20,241.57
  6. Step 6: Final answer
    x = 9,302.77

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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.