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Finding the Fourth Proportional to 20,162.25, 27,824.04 and 12,204.54

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Solution

The fourth proportional to 20,162.25, 27,824.04 and 12,204.54 is: 16,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.25 : 27,824.04 = 12,204.54 : x
  2. Step 2: Convert to fraction form
    20,162.25/27,824.04 = 12,204.54/x
  3. Step 3: Cross multiply
    20,162.25x = 27,824.04 × 12,204.54
  4. Step 4: Simplify right side
    20,162.25x = 339,579,609.14
  5. Step 5: Solve for x
    x = 339,579,609.14/20,162.25
  6. Step 6: Final answer
    x = 16,842.35

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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.