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Finding the Fourth Proportional to 20,084.36, 27,716.56 and 11,132

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Solution

The fourth proportional to 20,084.36, 27,716.56 and 11,132 is: 15,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.36 : 27,716.56 = 11,132 : x
  2. Step 2: Convert to fraction form
    20,084.36/27,716.56 = 11,132/x
  3. Step 3: Cross multiply
    20,084.36x = 27,716.56 × 11,132
  4. Step 4: Simplify right side
    20,084.36x = 308,540,745.92
  5. Step 5: Solve for x
    x = 308,540,745.92/20,084.36
  6. Step 6: Final answer
    x = 15,362.24

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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.