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Finding the Fourth Proportional to 27,454.14, 41,181.24 and 6,677.64

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Solution

The fourth proportional to 27,454.14, 41,181.24 and 6,677.64 is: 10,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454.14 : 41,181.24 = 6,677.64 : x
  2. Step 2: Convert to fraction form
    27,454.14/41,181.24 = 6,677.64/x
  3. Step 3: Cross multiply
    27,454.14x = 41,181.24 × 6,677.64
  4. Step 4: Simplify right side
    27,454.14x = 274,993,495.47
  5. Step 5: Solve for x
    x = 274,993,495.47/27,454.14
  6. Step 6: Final answer
    x = 10,016.47

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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.