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Finding the Fourth Proportional to 20,084, 27,715.92 and 11,705.60

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Solution

The fourth proportional to 20,084, 27,715.92 and 11,705.60 is: 16,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084 : 27,715.92 = 11,705.60 : x
  2. Step 2: Convert to fraction form
    20,084/27,715.92 = 11,705.60/x
  3. Step 3: Cross multiply
    20,084x = 27,715.92 × 11,705.60
  4. Step 4: Simplify right side
    20,084x = 324,431,473.15
  5. Step 5: Solve for x
    x = 324,431,473.15/20,084
  6. Step 6: Final answer
    x = 16,153.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.