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Finding the Fourth Proportional to 27,649.46, 41,491.39 and 11,233.46

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Solution

The fourth proportional to 27,649.46, 41,491.39 and 11,233.46 is: 16,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.46 : 41,491.39 = 11,233.46 : x
  2. Step 2: Convert to fraction form
    27,649.46/41,491.39 = 11,233.46/x
  3. Step 3: Cross multiply
    27,649.46x = 41,491.39 × 11,233.46
  4. Step 4: Simplify right side
    27,649.46x = 466,091,869.91
  5. Step 5: Solve for x
    x = 466,091,869.91/27,649.46
  6. Step 6: Final answer
    x = 16,857.18

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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.