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Finding the Fourth Proportional to 17,729.67, 24,467.72 and 11,361.81

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Solution

The fourth proportional to 17,729.67, 24,467.72 and 11,361.81 is: 15,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.67 : 24,467.72 = 11,361.81 : x
  2. Step 2: Convert to fraction form
    17,729.67/24,467.72 = 11,361.81/x
  3. Step 3: Cross multiply
    17,729.67x = 24,467.72 × 11,361.81
  4. Step 4: Simplify right side
    17,729.67x = 277,997,528.96
  5. Step 5: Solve for x
    x = 277,997,528.96/17,729.67
  6. Step 6: Final answer
    x = 15,679.79

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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.