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Finding the Fourth Proportional to 20,097.25, 27,732.39 and 11,144.73

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Solution

The fourth proportional to 20,097.25, 27,732.39 and 11,144.73 is: 15,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.25 : 27,732.39 = 11,144.73 : x
  2. Step 2: Convert to fraction form
    20,097.25/27,732.39 = 11,144.73/x
  3. Step 3: Cross multiply
    20,097.25x = 27,732.39 × 11,144.73
  4. Step 4: Simplify right side
    20,097.25x = 309,069,967.70
  5. Step 5: Solve for x
    x = 309,069,967.70/20,097.25
  6. Step 6: Final answer
    x = 15,378.72

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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.