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Finding the Fourth Proportional to 27,846.31, 41,779.04 and 8,127.78

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Solution

The fourth proportional to 27,846.31, 41,779.04 and 8,127.78 is: 12,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.31 : 41,779.04 = 8,127.78 : x
  2. Step 2: Convert to fraction form
    27,846.31/41,779.04 = 8,127.78/x
  3. Step 3: Cross multiply
    27,846.31x = 41,779.04 × 8,127.78
  4. Step 4: Simplify right side
    27,846.31x = 339,570,845.73
  5. Step 5: Solve for x
    x = 339,570,845.73/27,846.31
  6. Step 6: Final answer
    x = 12,194.46

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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.