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Finding the Fourth Proportional to 22,656.38, 33,991.79 and 9,505.22

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Solution

The fourth proportional to 22,656.38, 33,991.79 and 9,505.22 is: 14,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.38 : 33,991.79 = 9,505.22 : x
  2. Step 2: Convert to fraction form
    22,656.38/33,991.79 = 9,505.22/x
  3. Step 3: Cross multiply
    22,656.38x = 33,991.79 × 9,505.22
  4. Step 4: Simplify right side
    22,656.38x = 323,099,224.66
  5. Step 5: Solve for x
    x = 323,099,224.66/22,656.38
  6. Step 6: Final answer
    x = 14,260.85

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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.