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Finding the Fourth Proportional to 13,427.67, 20,144.64 and 4,067.76

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Solution

The fourth proportional to 13,427.67, 20,144.64 and 4,067.76 is: 6,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.67 : 20,144.64 = 4,067.76 : x
  2. Step 2: Convert to fraction form
    13,427.67/20,144.64 = 4,067.76/x
  3. Step 3: Cross multiply
    13,427.67x = 20,144.64 × 4,067.76
  4. Step 4: Simplify right side
    13,427.67x = 81,943,560.81
  5. Step 5: Solve for x
    x = 81,943,560.81/13,427.67
  6. Step 6: Final answer
    x = 6,102.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.