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Finding the Fourth Proportional to 18,596.25, 27,896.15 and 6,116.38

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Solution

The fourth proportional to 18,596.25, 27,896.15 and 6,116.38 is: 9,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.25 : 27,896.15 = 6,116.38 : x
  2. Step 2: Convert to fraction form
    18,596.25/27,896.15 = 6,116.38/x
  3. Step 3: Cross multiply
    18,596.25x = 27,896.15 × 6,116.38
  4. Step 4: Simplify right side
    18,596.25x = 170,623,453.94
  5. Step 5: Solve for x
    x = 170,623,453.94/18,596.25
  6. Step 6: Final answer
    x = 9,175.15

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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.