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Finding the Fourth Proportional to 27,454.76, 41,181.66 and 6,678.44

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Solution

The fourth proportional to 27,454.76, 41,181.66 and 6,678.44 is: 10,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454.76 : 41,181.66 = 6,678.44 : x
  2. Step 2: Convert to fraction form
    27,454.76/41,181.66 = 6,678.44/x
  3. Step 3: Cross multiply
    27,454.76x = 41,181.66 × 6,678.44
  4. Step 4: Simplify right side
    27,454.76x = 275,029,245.41
  5. Step 5: Solve for x
    x = 275,029,245.41/27,454.76
  6. Step 6: Final answer
    x = 10,017.54

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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.