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Finding the Fourth Proportional to 20,231.94, 27,919.71 and 11,280.09

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Solution

The fourth proportional to 20,231.94, 27,919.71 and 11,280.09 is: 15,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.94 : 27,919.71 = 11,280.09 : x
  2. Step 2: Convert to fraction form
    20,231.94/27,919.71 = 11,280.09/x
  3. Step 3: Cross multiply
    20,231.94x = 27,919.71 × 11,280.09
  4. Step 4: Simplify right side
    20,231.94x = 314,936,841.57
  5. Step 5: Solve for x
    x = 314,936,841.57/20,231.94
  6. Step 6: Final answer
    x = 15,566.32

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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.