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Finding the Fourth Proportional to 20,028.08, 27,640.40 and 11,644

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Solution

The fourth proportional to 20,028.08, 27,640.40 and 11,644 is: 16,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028.08 : 27,640.40 = 11,644 : x
  2. Step 2: Convert to fraction form
    20,028.08/27,640.40 = 11,644/x
  3. Step 3: Cross multiply
    20,028.08x = 27,640.40 × 11,644
  4. Step 4: Simplify right side
    20,028.08x = 321,844,817.60
  5. Step 5: Solve for x
    x = 321,844,817.60/20,028.08
  6. Step 6: Final answer
    x = 16,069.68

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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.