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Finding the Fourth Proportional to 22,663.80, 33,997.20 and 6,023.60

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Solution

The fourth proportional to 22,663.80, 33,997.20 and 6,023.60 is: 9,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.80 : 33,997.20 = 6,023.60 : x
  2. Step 2: Convert to fraction form
    22,663.80/33,997.20 = 6,023.60/x
  3. Step 3: Cross multiply
    22,663.80x = 33,997.20 × 6,023.60
  4. Step 4: Simplify right side
    22,663.80x = 204,785,533.92
  5. Step 5: Solve for x
    x = 204,785,533.92/22,663.80
  6. Step 6: Final answer
    x = 9,035.80

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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.