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Finding the Fourth Proportional to 20,199.92, 30,299.94 and 9,804.38

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Solution

The fourth proportional to 20,199.92, 30,299.94 and 9,804.38 is: 14,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.92 : 30,299.94 = 9,804.38 : x
  2. Step 2: Convert to fraction form
    20,199.92/30,299.94 = 9,804.38/x
  3. Step 3: Cross multiply
    20,199.92x = 30,299.94 × 9,804.38
  4. Step 4: Simplify right side
    20,199.92x = 297,071,974.24
  5. Step 5: Solve for x
    x = 297,071,974.24/20,199.92
  6. Step 6: Final answer
    x = 14,706.60

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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.