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Finding the Fourth Proportional to 20,137.70, 27,789.66 and 11,185.12

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Solution

The fourth proportional to 20,137.70, 27,789.66 and 11,185.12 is: 15,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.70 : 27,789.66 = 11,185.12 : x
  2. Step 2: Convert to fraction form
    20,137.70/27,789.66 = 11,185.12/x
  3. Step 3: Cross multiply
    20,137.70x = 27,789.66 × 11,185.12
  4. Step 4: Simplify right side
    20,137.70x = 310,830,716.60
  5. Step 5: Solve for x
    x = 310,830,716.60/20,137.70
  6. Step 6: Final answer
    x = 15,435.26

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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.