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Finding the Fourth Proportional to 12,661.94, 18,992.95 and 3,896.80

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Solution

The fourth proportional to 12,661.94, 18,992.95 and 3,896.80 is: 5,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.94 : 18,992.95 = 3,896.80 : x
  2. Step 2: Convert to fraction form
    12,661.94/18,992.95 = 3,896.80/x
  3. Step 3: Cross multiply
    12,661.94x = 18,992.95 × 3,896.80
  4. Step 4: Simplify right side
    12,661.94x = 74,011,727.56
  5. Step 5: Solve for x
    x = 74,011,727.56/12,661.94
  6. Step 6: Final answer
    x = 5,845.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.