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Finding the Fourth Proportional to 18,198.94, 27,305.09 and 7,671.61

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Solution

The fourth proportional to 18,198.94, 27,305.09 and 7,671.61 is: 11,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198.94 : 27,305.09 = 7,671.61 : x
  2. Step 2: Convert to fraction form
    18,198.94/27,305.09 = 7,671.61/x
  3. Step 3: Cross multiply
    18,198.94x = 27,305.09 × 7,671.61
  4. Step 4: Simplify right side
    18,198.94x = 209,473,963.14
  5. Step 5: Solve for x
    x = 209,473,963.14/18,198.94
  6. Step 6: Final answer
    x = 11,510.23

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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.