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Finding the Fourth Proportional to 20,211.75, 27,894.11 and 11,828.25

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Solution

The fourth proportional to 20,211.75, 27,894.11 and 11,828.25 is: 16,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.75 : 27,894.11 = 11,828.25 : x
  2. Step 2: Convert to fraction form
    20,211.75/27,894.11 = 11,828.25/x
  3. Step 3: Cross multiply
    20,211.75x = 27,894.11 × 11,828.25
  4. Step 4: Simplify right side
    20,211.75x = 329,938,447.47
  5. Step 5: Solve for x
    x = 329,938,447.47/20,211.75
  6. Step 6: Final answer
    x = 16,324.09

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Why These Related Problems?

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