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Finding the Fourth Proportional to 22,422.38, 33,633.26 and 7,641.60

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Solution

The fourth proportional to 22,422.38, 33,633.26 and 7,641.60 is: 11,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.38 : 33,633.26 = 7,641.60 : x
  2. Step 2: Convert to fraction form
    22,422.38/33,633.26 = 7,641.60/x
  3. Step 3: Cross multiply
    22,422.38x = 33,633.26 × 7,641.60
  4. Step 4: Simplify right side
    22,422.38x = 257,011,919.62
  5. Step 5: Solve for x
    x = 257,011,919.62/22,422.38
  6. Step 6: Final answer
    x = 11,462.29

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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.