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Finding the Fourth Proportional to 20,179.75, 27,846.78 and 11,227.02

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Solution

The fourth proportional to 20,179.75, 27,846.78 and 11,227.02 is: 15,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.75 : 27,846.78 = 11,227.02 : x
  2. Step 2: Convert to fraction form
    20,179.75/27,846.78 = 11,227.02/x
  3. Step 3: Cross multiply
    20,179.75x = 27,846.78 × 11,227.02
  4. Step 4: Simplify right side
    20,179.75x = 312,636,356.00
  5. Step 5: Solve for x
    x = 312,636,356.00/20,179.75
  6. Step 6: Final answer
    x = 15,492.58

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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.