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Finding the Fourth Proportional to 20,165.29, 27,824.11 and 12,208.25

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Solution

The fourth proportional to 20,165.29, 27,824.11 and 12,208.25 is: 16,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.29 : 27,824.11 = 12,208.25 : x
  2. Step 2: Convert to fraction form
    20,165.29/27,824.11 = 12,208.25/x
  3. Step 3: Cross multiply
    20,165.29x = 27,824.11 × 12,208.25
  4. Step 4: Simplify right side
    20,165.29x = 339,683,629.87
  5. Step 5: Solve for x
    x = 339,683,629.87/20,165.29
  6. Step 6: Final answer
    x = 16,844.97

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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.