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Finding the Fourth Proportional to 27,616.93, 41,431.89 and 7,894.96

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Solution

The fourth proportional to 27,616.93, 41,431.89 and 7,894.96 is: 11,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.93 : 41,431.89 = 7,894.96 : x
  2. Step 2: Convert to fraction form
    27,616.93/41,431.89 = 7,894.96/x
  3. Step 3: Cross multiply
    27,616.93x = 41,431.89 × 7,894.96
  4. Step 4: Simplify right side
    27,616.93x = 327,103,114.27
  5. Step 5: Solve for x
    x = 327,103,114.27/27,616.93
  6. Step 6: Final answer
    x = 11,844.30

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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.