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Finding the Fourth Proportional to 20,293.38, 30,436.43 and 9,198

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Solution

The fourth proportional to 20,293.38, 30,436.43 and 9,198 is: 13,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293.38 : 30,436.43 = 9,198 : x
  2. Step 2: Convert to fraction form
    20,293.38/30,436.43 = 9,198/x
  3. Step 3: Cross multiply
    20,293.38x = 30,436.43 × 9,198
  4. Step 4: Simplify right side
    20,293.38x = 279,954,237.15
  5. Step 5: Solve for x
    x = 279,954,237.15/20,293.38
  6. Step 6: Final answer
    x = 13,795.35

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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.