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Finding the Fourth Proportional to 16,335.50, 24,504.38 and 6,474.78

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Solution

The fourth proportional to 16,335.50, 24,504.38 and 6,474.78 is: 9,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.50 : 24,504.38 = 6,474.78 : x
  2. Step 2: Convert to fraction form
    16,335.50/24,504.38 = 6,474.78/x
  3. Step 3: Cross multiply
    16,335.50x = 24,504.38 × 6,474.78
  4. Step 4: Simplify right side
    16,335.50x = 158,660,469.54
  5. Step 5: Solve for x
    x = 158,660,469.54/16,335.50
  6. Step 6: Final answer
    x = 9,712.62

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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.