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Finding the Fourth Proportional to 20,201.92, 27,878.53 and 11,818.24

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Solution

The fourth proportional to 20,201.92, 27,878.53 and 11,818.24 is: 16,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.92 : 27,878.53 = 11,818.24 : x
  2. Step 2: Convert to fraction form
    20,201.92/27,878.53 = 11,818.24/x
  3. Step 3: Cross multiply
    20,201.92x = 27,878.53 × 11,818.24
  4. Step 4: Simplify right side
    20,201.92x = 329,474,989.45
  5. Step 5: Solve for x
    x = 329,474,989.45/20,201.92
  6. Step 6: Final answer
    x = 16,309.10

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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.