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Finding the Fourth Proportional to 22,462.94, 33,694.41 and 6,878.54

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Solution

The fourth proportional to 22,462.94, 33,694.41 and 6,878.54 is: 10,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.94 : 33,694.41 = 6,878.54 : x
  2. Step 2: Convert to fraction form
    22,462.94/33,694.41 = 6,878.54/x
  3. Step 3: Cross multiply
    22,462.94x = 33,694.41 × 6,878.54
  4. Step 4: Simplify right side
    22,462.94x = 231,768,346.96
  5. Step 5: Solve for x
    x = 231,768,346.96/22,462.94
  6. Step 6: Final answer
    x = 10,317.81

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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.