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Finding the Fourth Proportional to 27,551.08, 41,319.24 and 11,965

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Solution

The fourth proportional to 27,551.08, 41,319.24 and 11,965 is: 17,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.08 : 41,319.24 = 11,965 : x
  2. Step 2: Convert to fraction form
    27,551.08/41,319.24 = 11,965/x
  3. Step 3: Cross multiply
    27,551.08x = 41,319.24 × 11,965
  4. Step 4: Simplify right side
    27,551.08x = 494,384,706.60
  5. Step 5: Solve for x
    x = 494,384,706.60/27,551.08
  6. Step 6: Final answer
    x = 17,944.29

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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.