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Finding the Fourth Proportional to 20,257.24, 27,954.88 and 11,304.24

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Solution

The fourth proportional to 20,257.24, 27,954.88 and 11,304.24 is: 15,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.24 : 27,954.88 = 11,304.24 : x
  2. Step 2: Convert to fraction form
    20,257.24/27,954.88 = 11,304.24/x
  3. Step 3: Cross multiply
    20,257.24x = 27,954.88 × 11,304.24
  4. Step 4: Simplify right side
    20,257.24x = 316,008,672.69
  5. Step 5: Solve for x
    x = 316,008,672.69/20,257.24
  6. Step 6: Final answer
    x = 15,599.79

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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.