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Finding the Fourth Proportional to 20,083.84, 27,709.36 and 11,584.82

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Solution

The fourth proportional to 20,083.84, 27,709.36 and 11,584.82 is: 15,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.84 : 27,709.36 = 11,584.82 : x
  2. Step 2: Convert to fraction form
    20,083.84/27,709.36 = 11,584.82/x
  3. Step 3: Cross multiply
    20,083.84x = 27,709.36 × 11,584.82
  4. Step 4: Simplify right side
    20,083.84x = 321,007,751.44
  5. Step 5: Solve for x
    x = 321,007,751.44/20,083.84
  6. Step 6: Final answer
    x = 15,983.39

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Why These Related Problems?

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