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Finding the Fourth Proportional to 27,649.68, 41,474.50 and 6,873.18

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Solution

The fourth proportional to 27,649.68, 41,474.50 and 6,873.18 is: 10,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.68 : 41,474.50 = 6,873.18 : x
  2. Step 2: Convert to fraction form
    27,649.68/41,474.50 = 6,873.18/x
  3. Step 3: Cross multiply
    27,649.68x = 41,474.50 × 6,873.18
  4. Step 4: Simplify right side
    27,649.68x = 285,061,703.91
  5. Step 5: Solve for x
    x = 285,061,703.91/27,649.68
  6. Step 6: Final answer
    x = 10,309.77

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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.