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Finding the Fourth Proportional to 27,649.18, 41,473.75 and 6,872.68

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Solution

The fourth proportional to 27,649.18, 41,473.75 and 6,872.68 is: 10,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.18 : 41,473.75 = 6,872.68 : x
  2. Step 2: Convert to fraction form
    27,649.18/41,473.75 = 6,872.68/x
  3. Step 3: Cross multiply
    27,649.18x = 41,473.75 × 6,872.68
  4. Step 4: Simplify right side
    27,649.18x = 285,035,812.15
  5. Step 5: Solve for x
    x = 285,035,812.15/27,649.18
  6. Step 6: Final answer
    x = 10,309.02

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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.