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Finding the Fourth Proportional to 20,149.78, 27,806.54 and 11,197.12

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Solution

The fourth proportional to 20,149.78, 27,806.54 and 11,197.12 is: 15,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.78 : 27,806.54 = 11,197.12 : x
  2. Step 2: Convert to fraction form
    20,149.78/27,806.54 = 11,197.12/x
  3. Step 3: Cross multiply
    20,149.78x = 27,806.54 × 11,197.12
  4. Step 4: Simplify right side
    20,149.78x = 311,353,165.16
  5. Step 5: Solve for x
    x = 311,353,165.16/20,149.78
  6. Step 6: Final answer
    x = 15,451.94

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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.