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Finding the Fourth Proportional to 20,204.75, 27,881.99 and 11,252.25

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Solution

The fourth proportional to 20,204.75, 27,881.99 and 11,252.25 is: 15,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.75 : 27,881.99 = 11,252.25 : x
  2. Step 2: Convert to fraction form
    20,204.75/27,881.99 = 11,252.25/x
  3. Step 3: Cross multiply
    20,204.75x = 27,881.99 × 11,252.25
  4. Step 4: Simplify right side
    20,204.75x = 313,735,121.98
  5. Step 5: Solve for x
    x = 313,735,121.98/20,204.75
  6. Step 6: Final answer
    x = 15,527.79

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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.