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Finding the Fourth Proportional to 12,102.24, 16,704.54 and 7,067.64

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Solution

The fourth proportional to 12,102.24, 16,704.54 and 7,067.64 is: 9,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.24 : 16,704.54 = 7,067.64 : x
  2. Step 2: Convert to fraction form
    12,102.24/16,704.54 = 7,067.64/x
  3. Step 3: Cross multiply
    12,102.24x = 16,704.54 × 7,067.64
  4. Step 4: Simplify right side
    12,102.24x = 118,061,675.09
  5. Step 5: Solve for x
    x = 118,061,675.09/12,102.24
  6. Step 6: Final answer
    x = 9,755.36

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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.