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Finding the Fourth Proportional to 26,005.92, 38,997.60 and 8,232.24

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Solution

The fourth proportional to 26,005.92, 38,997.60 and 8,232.24 is: 12,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.92 : 38,997.60 = 8,232.24 : x
  2. Step 2: Convert to fraction form
    26,005.92/38,997.60 = 8,232.24/x
  3. Step 3: Cross multiply
    26,005.92x = 38,997.60 × 8,232.24
  4. Step 4: Simplify right side
    26,005.92x = 321,037,602.62
  5. Step 5: Solve for x
    x = 321,037,602.62/26,005.92
  6. Step 6: Final answer
    x = 12,344.79

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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.