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Finding the Fourth Proportional to 22,504.96, 33,761.94 and 6,922

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Solution

The fourth proportional to 22,504.96, 33,761.94 and 6,922 is: 10,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.96 : 33,761.94 = 6,922 : x
  2. Step 2: Convert to fraction form
    22,504.96/33,761.94 = 6,922/x
  3. Step 3: Cross multiply
    22,504.96x = 33,761.94 × 6,922
  4. Step 4: Simplify right side
    22,504.96x = 233,700,148.68
  5. Step 5: Solve for x
    x = 233,700,148.68/22,504.96
  6. Step 6: Final answer
    x = 10,384.38

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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.