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Finding the Fourth Proportional to 12,731.67, 17,571.82 and 7,426.49

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Solution

The fourth proportional to 12,731.67, 17,571.82 and 7,426.49 is: 10,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.67 : 17,571.82 = 7,426.49 : x
  2. Step 2: Convert to fraction form
    12,731.67/17,571.82 = 7,426.49/x
  3. Step 3: Cross multiply
    12,731.67x = 17,571.82 × 7,426.49
  4. Step 4: Simplify right side
    12,731.67x = 130,496,820.52
  5. Step 5: Solve for x
    x = 130,496,820.52/12,731.67
  6. Step 6: Final answer
    x = 10,249.78

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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.