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Finding the Fourth Proportional to 16,255.50, 24,383.25 and 5,311.50

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Solution

The fourth proportional to 16,255.50, 24,383.25 and 5,311.50 is: 7,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.50 : 24,383.25 = 5,311.50 : x
  2. Step 2: Convert to fraction form
    16,255.50/24,383.25 = 5,311.50/x
  3. Step 3: Cross multiply
    16,255.50x = 24,383.25 × 5,311.50
  4. Step 4: Simplify right side
    16,255.50x = 129,511,632.38
  5. Step 5: Solve for x
    x = 129,511,632.38/16,255.50
  6. Step 6: Final answer
    x = 7,967.25

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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.