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Finding the Fourth Proportional to 24,331.96, 36,497.94 and 5,863.96

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Solution

The fourth proportional to 24,331.96, 36,497.94 and 5,863.96 is: 8,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.96 : 36,497.94 = 5,863.96 : x
  2. Step 2: Convert to fraction form
    24,331.96/36,497.94 = 5,863.96/x
  3. Step 3: Cross multiply
    24,331.96x = 36,497.94 × 5,863.96
  4. Step 4: Simplify right side
    24,331.96x = 214,022,460.24
  5. Step 5: Solve for x
    x = 214,022,460.24/24,331.96
  6. Step 6: Final answer
    x = 8,795.94

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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.