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Finding the Fourth Proportional to 20,090.50, 27,724.12 and 11,138.16

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Solution

The fourth proportional to 20,090.50, 27,724.12 and 11,138.16 is: 15,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.50 : 27,724.12 = 11,138.16 : x
  2. Step 2: Convert to fraction form
    20,090.50/27,724.12 = 11,138.16/x
  3. Step 3: Cross multiply
    20,090.50x = 27,724.12 × 11,138.16
  4. Step 4: Simplify right side
    20,090.50x = 308,795,684.42
  5. Step 5: Solve for x
    x = 308,795,684.42/20,090.50
  6. Step 6: Final answer
    x = 15,370.23

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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.