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Finding the Fourth Proportional to 16,171.75, 24,230.68 and 5,635.97

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Solution

The fourth proportional to 16,171.75, 24,230.68 and 5,635.97 is: 8,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.75 : 24,230.68 = 5,635.97 : x
  2. Step 2: Convert to fraction form
    16,171.75/24,230.68 = 5,635.97/x
  3. Step 3: Cross multiply
    16,171.75x = 24,230.68 × 5,635.97
  4. Step 4: Simplify right side
    16,171.75x = 136,563,313.05
  5. Step 5: Solve for x
    x = 136,563,313.05/16,171.75
  6. Step 6: Final answer
    x = 8,444.56

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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.