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Finding the Fourth Proportional to 20,211.70, 27,889.64 and 11,258.57

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Solution

The fourth proportional to 20,211.70, 27,889.64 and 11,258.57 is: 15,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.70 : 27,889.64 = 11,258.57 : x
  2. Step 2: Convert to fraction form
    20,211.70/27,889.64 = 11,258.57/x
  3. Step 3: Cross multiply
    20,211.70x = 27,889.64 × 11,258.57
  4. Step 4: Simplify right side
    20,211.70x = 313,997,464.21
  5. Step 5: Solve for x
    x = 313,997,464.21/20,211.70
  6. Step 6: Final answer
    x = 15,535.43

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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.