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Finding the Fourth Proportional to 20,201.92, 30,302.94 and 9,806.38

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Solution

The fourth proportional to 20,201.92, 30,302.94 and 9,806.38 is: 14,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.92 : 30,302.94 = 9,806.38 : x
  2. Step 2: Convert to fraction form
    20,201.92/30,302.94 = 9,806.38/x
  3. Step 3: Cross multiply
    20,201.92x = 30,302.94 × 9,806.38
  4. Step 4: Simplify right side
    20,201.92x = 297,162,144.76
  5. Step 5: Solve for x
    x = 297,162,144.76/20,201.92
  6. Step 6: Final answer
    x = 14,709.60

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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.