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Finding the Fourth Proportional to 22,181.38, 33,262.86 and 9,024.82

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Solution

The fourth proportional to 22,181.38, 33,262.86 and 9,024.82 is: 13,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.38 : 33,262.86 = 9,024.82 : x
  2. Step 2: Convert to fraction form
    22,181.38/33,262.86 = 9,024.82/x
  3. Step 3: Cross multiply
    22,181.38x = 33,262.86 × 9,024.82
  4. Step 4: Simplify right side
    22,181.38x = 300,191,324.19
  5. Step 5: Solve for x
    x = 300,191,324.19/22,181.38
  6. Step 6: Final answer
    x = 13,533.48

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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.