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Finding the Fourth Proportional to 12,781.72, 17,642.37 and 8,538.94

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Solution

The fourth proportional to 12,781.72, 17,642.37 and 8,538.94 is: 11,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.72 : 17,642.37 = 8,538.94 : x
  2. Step 2: Convert to fraction form
    12,781.72/17,642.37 = 8,538.94/x
  3. Step 3: Cross multiply
    12,781.72x = 17,642.37 × 8,538.94
  4. Step 4: Simplify right side
    12,781.72x = 150,647,138.89
  5. Step 5: Solve for x
    x = 150,647,138.89/12,781.72
  6. Step 6: Final answer
    x = 11,786.14

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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.