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Finding the Fourth Proportional to 16,027.56, 24,046.50 and 7,708.20

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Solution

The fourth proportional to 16,027.56, 24,046.50 and 7,708.20 is: 11,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.56 : 24,046.50 = 7,708.20 : x
  2. Step 2: Convert to fraction form
    16,027.56/24,046.50 = 7,708.20/x
  3. Step 3: Cross multiply
    16,027.56x = 24,046.50 × 7,708.20
  4. Step 4: Simplify right side
    16,027.56x = 185,355,231.30
  5. Step 5: Solve for x
    x = 185,355,231.30/16,027.56
  6. Step 6: Final answer
    x = 11,564.78

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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.