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Finding the Fourth Proportional to 20,211.84, 27,889.92 and 11,257.28

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Solution

The fourth proportional to 20,211.84, 27,889.92 and 11,257.28 is: 15,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.84 : 27,889.92 = 11,257.28 : x
  2. Step 2: Convert to fraction form
    20,211.84/27,889.92 = 11,257.28/x
  3. Step 3: Cross multiply
    20,211.84x = 27,889.92 × 11,257.28
  4. Step 4: Simplify right side
    20,211.84x = 313,964,638.62
  5. Step 5: Solve for x
    x = 313,964,638.62/20,211.84
  6. Step 6: Final answer
    x = 15,533.70

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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.