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Finding the Fourth Proportional to 20,222.92, 27,908.58 and 11,842.12

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Solution

The fourth proportional to 20,222.92, 27,908.58 and 11,842.12 is: 16,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.92 : 27,908.58 = 11,842.12 : x
  2. Step 2: Convert to fraction form
    20,222.92/27,908.58 = 11,842.12/x
  3. Step 3: Cross multiply
    20,222.92x = 27,908.58 × 11,842.12
  4. Step 4: Simplify right side
    20,222.92x = 330,496,753.39
  5. Step 5: Solve for x
    x = 330,496,753.39/20,222.92
  6. Step 6: Final answer
    x = 16,342.68

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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.