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Finding the Fourth Proportional to 20,213.92, 27,894.49 and 11,260.97

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Solution

The fourth proportional to 20,213.92, 27,894.49 and 11,260.97 is: 15,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.92 : 27,894.49 = 11,260.97 : x
  2. Step 2: Convert to fraction form
    20,213.92/27,894.49 = 11,260.97/x
  3. Step 3: Cross multiply
    20,213.92x = 27,894.49 × 11,260.97
  4. Step 4: Simplify right side
    20,213.92x = 314,119,015.06
  5. Step 5: Solve for x
    x = 314,119,015.06/20,213.92
  6. Step 6: Final answer
    x = 15,539.74

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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.