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Finding the Fourth Proportional to 27,649.79, 41,474.67 and 9,181.79

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Solution

The fourth proportional to 27,649.79, 41,474.67 and 9,181.79 is: 13,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.79 : 41,474.67 = 9,181.79 : x
  2. Step 2: Convert to fraction form
    27,649.79/41,474.67 = 9,181.79/x
  3. Step 3: Cross multiply
    27,649.79x = 41,474.67 × 9,181.79
  4. Step 4: Simplify right side
    27,649.79x = 380,811,710.26
  5. Step 5: Solve for x
    x = 380,811,710.26/27,649.79
  6. Step 6: Final answer
    x = 13,772.68

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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.