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Finding the Fourth Proportional to 20,199.84, 27,874.08 and 11,246.64

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Solution

The fourth proportional to 20,199.84, 27,874.08 and 11,246.64 is: 15,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.84 : 27,874.08 = 11,246.64 : x
  2. Step 2: Convert to fraction form
    20,199.84/27,874.08 = 11,246.64/x
  3. Step 3: Cross multiply
    20,199.84x = 27,874.08 × 11,246.64
  4. Step 4: Simplify right side
    20,199.84x = 313,489,743.09
  5. Step 5: Solve for x
    x = 313,489,743.09/20,199.84
  6. Step 6: Final answer
    x = 15,519.42

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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.