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Finding the Fourth Proportional to 20,141.93, 30,164.31 and 11,797.16

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Solution

The fourth proportional to 20,141.93, 30,164.31 and 11,797.16 is: 17,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.93 : 30,164.31 = 11,797.16 : x
  2. Step 2: Convert to fraction form
    20,141.93/30,164.31 = 11,797.16/x
  3. Step 3: Cross multiply
    20,141.93x = 30,164.31 × 11,797.16
  4. Step 4: Simplify right side
    20,141.93x = 355,853,040.54
  5. Step 5: Solve for x
    x = 355,853,040.54/20,141.93
  6. Step 6: Final answer
    x = 17,667.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.