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Finding the Fourth Proportional to 20,213.12, 27,889.44 and 11,828

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Solution

The fourth proportional to 20,213.12, 27,889.44 and 11,828 is: 16,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.12 : 27,889.44 = 11,828 : x
  2. Step 2: Convert to fraction form
    20,213.12/27,889.44 = 11,828/x
  3. Step 3: Cross multiply
    20,213.12x = 27,889.44 × 11,828
  4. Step 4: Simplify right side
    20,213.12x = 329,876,296.32
  5. Step 5: Solve for x
    x = 329,876,296.32/20,213.12
  6. Step 6: Final answer
    x = 16,319.91

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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.