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Finding the Fourth Proportional to 22,131.30, 33,202.86 and 9,652.33

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Solution

The fourth proportional to 22,131.30, 33,202.86 and 9,652.33 is: 14,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131.30 : 33,202.86 = 9,652.33 : x
  2. Step 2: Convert to fraction form
    22,131.30/33,202.86 = 9,652.33/x
  3. Step 3: Cross multiply
    22,131.30x = 33,202.86 × 9,652.33
  4. Step 4: Simplify right side
    22,131.30x = 320,484,961.66
  5. Step 5: Solve for x
    x = 320,484,961.66/22,131.30
  6. Step 6: Final answer
    x = 14,481.07

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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.