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Finding the Fourth Proportional to 20,201.82, 27,883.41 and 11,702.56

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Solution

The fourth proportional to 20,201.82, 27,883.41 and 11,702.56 is: 16,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.82 : 27,883.41 = 11,702.56 : x
  2. Step 2: Convert to fraction form
    20,201.82/27,883.41 = 11,702.56/x
  3. Step 3: Cross multiply
    20,201.82x = 27,883.41 × 11,702.56
  4. Step 4: Simplify right side
    20,201.82x = 326,307,278.53
  5. Step 5: Solve for x
    x = 326,307,278.53/20,201.82
  6. Step 6: Final answer
    x = 16,152.37

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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.