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Finding the Fourth Proportional to 27,617.44, 41,427.20 and 8,895

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Solution

The fourth proportional to 27,617.44, 41,427.20 and 8,895 is: 13,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.44 : 41,427.20 = 8,895 : x
  2. Step 2: Convert to fraction form
    27,617.44/41,427.20 = 8,895/x
  3. Step 3: Cross multiply
    27,617.44x = 41,427.20 × 8,895
  4. Step 4: Simplify right side
    27,617.44x = 368,494,944
  5. Step 5: Solve for x
    x = 368,494,944/27,617.44
  6. Step 6: Final answer
    x = 13,342.83

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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.