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Finding the Fourth Proportional to 19,720.36, 27,212.16 and 11,761

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Solution

The fourth proportional to 19,720.36, 27,212.16 and 11,761 is: 16,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.36 : 27,212.16 = 11,761 : x
  2. Step 2: Convert to fraction form
    19,720.36/27,212.16 = 11,761/x
  3. Step 3: Cross multiply
    19,720.36x = 27,212.16 × 11,761
  4. Step 4: Simplify right side
    19,720.36x = 320,042,213.76
  5. Step 5: Solve for x
    x = 320,042,213.76/19,720.36
  6. Step 6: Final answer
    x = 16,229.02

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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.