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Finding the Fourth Proportional to 20,147.88, 27,807.36 and 11,198.28

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Solution

The fourth proportional to 20,147.88, 27,807.36 and 11,198.28 is: 15,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.88 : 27,807.36 = 11,198.28 : x
  2. Step 2: Convert to fraction form
    20,147.88/27,807.36 = 11,198.28/x
  3. Step 3: Cross multiply
    20,147.88x = 27,807.36 × 11,198.28
  4. Step 4: Simplify right side
    20,147.88x = 311,394,603.34
  5. Step 5: Solve for x
    x = 311,394,603.34/20,147.88
  6. Step 6: Final answer
    x = 15,455.45

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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.