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Finding the Fourth Proportional to 20,171.88, 27,865.64 and 16,165.32

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Solution

The fourth proportional to 20,171.88, 27,865.64 and 16,165.32 is: 22,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.88 : 27,865.64 = 16,165.32 : x
  2. Step 2: Convert to fraction form
    20,171.88/27,865.64 = 16,165.32/x
  3. Step 3: Cross multiply
    20,171.88x = 27,865.64 × 16,165.32
  4. Step 4: Simplify right side
    20,171.88x = 450,456,987.60
  5. Step 5: Solve for x
    x = 450,456,987.60/20,171.88
  6. Step 6: Final answer
    x = 22,330.94

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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.