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Finding the Fourth Proportional to 20,112.17, 27,753.77 and 11,159.49

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Solution

The fourth proportional to 20,112.17, 27,753.77 and 11,159.49 is: 15,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.17 : 27,753.77 = 11,159.49 : x
  2. Step 2: Convert to fraction form
    20,112.17/27,753.77 = 11,159.49/x
  3. Step 3: Cross multiply
    20,112.17x = 27,753.77 × 11,159.49
  4. Step 4: Simplify right side
    20,112.17x = 309,717,946.68
  5. Step 5: Solve for x
    x = 309,717,946.68/20,112.17
  6. Step 6: Final answer
    x = 15,399.53

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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.