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Finding the Fourth Proportional to 20,027.66, 27,638.07 and 11,075

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Solution

The fourth proportional to 20,027.66, 27,638.07 and 11,075 is: 15,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.66 : 27,638.07 = 11,075 : x
  2. Step 2: Convert to fraction form
    20,027.66/27,638.07 = 11,075/x
  3. Step 3: Cross multiply
    20,027.66x = 27,638.07 × 11,075
  4. Step 4: Simplify right side
    20,027.66x = 306,091,625.25
  5. Step 5: Solve for x
    x = 306,091,625.25/20,027.66
  6. Step 6: Final answer
    x = 15,283.44

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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.