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Finding the Fourth Proportional to 27,849, 41,775.17 and 11,208.96

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Solution

The fourth proportional to 27,849, 41,775.17 and 11,208.96 is: 16,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849 : 41,775.17 = 11,208.96 : x
  2. Step 2: Convert to fraction form
    27,849/41,775.17 = 11,208.96/x
  3. Step 3: Cross multiply
    27,849x = 41,775.17 × 11,208.96
  4. Step 4: Simplify right side
    27,849x = 468,256,153.48
  5. Step 5: Solve for x
    x = 468,256,153.48/27,849
  6. Step 6: Final answer
    x = 16,814.11

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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.