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Finding the Fourth Proportional to 20,198.64, 27,870.69 and 11,244.90

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Solution

The fourth proportional to 20,198.64, 27,870.69 and 11,244.90 is: 15,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.64 : 27,870.69 = 11,244.90 : x
  2. Step 2: Convert to fraction form
    20,198.64/27,870.69 = 11,244.90/x
  3. Step 3: Cross multiply
    20,198.64x = 27,870.69 × 11,244.90
  4. Step 4: Simplify right side
    20,198.64x = 313,403,121.98
  5. Step 5: Solve for x
    x = 313,403,121.98/20,198.64
  6. Step 6: Final answer
    x = 15,516.05

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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.