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Finding the Fourth Proportional to 20,099.58, 27,738.71 and 11,147.22

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Solution

The fourth proportional to 20,099.58, 27,738.71 and 11,147.22 is: 15,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.58 : 27,738.71 = 11,147.22 : x
  2. Step 2: Convert to fraction form
    20,099.58/27,738.71 = 11,147.22/x
  3. Step 3: Cross multiply
    20,099.58x = 27,738.71 × 11,147.22
  4. Step 4: Simplify right side
    20,099.58x = 309,209,447.15
  5. Step 5: Solve for x
    x = 309,209,447.15/20,099.58
  6. Step 6: Final answer
    x = 15,383.88

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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.