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Finding the Fourth Proportional to 20,180.34, 27,850.68 and 11,227.68

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Solution

The fourth proportional to 20,180.34, 27,850.68 and 11,227.68 is: 15,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.34 : 27,850.68 = 11,227.68 : x
  2. Step 2: Convert to fraction form
    20,180.34/27,850.68 = 11,227.68/x
  3. Step 3: Cross multiply
    20,180.34x = 27,850.68 × 11,227.68
  4. Step 4: Simplify right side
    20,180.34x = 312,698,522.82
  5. Step 5: Solve for x
    x = 312,698,522.82/20,180.34
  6. Step 6: Final answer
    x = 15,495.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.