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Finding the Fourth Proportional to 19,729.42, 27,230.13 and 11,662.75

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Solution

The fourth proportional to 19,729.42, 27,230.13 and 11,662.75 is: 16,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.42 : 27,230.13 = 11,662.75 : x
  2. Step 2: Convert to fraction form
    19,729.42/27,230.13 = 11,662.75/x
  3. Step 3: Cross multiply
    19,729.42x = 27,230.13 × 11,662.75
  4. Step 4: Simplify right side
    19,729.42x = 317,578,198.66
  5. Step 5: Solve for x
    x = 317,578,198.66/19,729.42
  6. Step 6: Final answer
    x = 16,096.68

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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.