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Finding the Fourth Proportional to 27,654.48, 41,481.86 and 6,877.98

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Solution

The fourth proportional to 27,654.48, 41,481.86 and 6,877.98 is: 10,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.48 : 41,481.86 = 6,877.98 : x
  2. Step 2: Convert to fraction form
    27,654.48/41,481.86 = 6,877.98/x
  3. Step 3: Cross multiply
    27,654.48x = 41,481.86 × 6,877.98
  4. Step 4: Simplify right side
    27,654.48x = 285,311,403.44
  5. Step 5: Solve for x
    x = 285,311,403.44/27,654.48
  6. Step 6: Final answer
    x = 10,317.00

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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.