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Finding the Fourth Proportional to 16,270.20, 24,409.64 and 6,910.64

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Solution

The fourth proportional to 16,270.20, 24,409.64 and 6,910.64 is: 10,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.20 : 24,409.64 = 6,910.64 : x
  2. Step 2: Convert to fraction form
    16,270.20/24,409.64 = 6,910.64/x
  3. Step 3: Cross multiply
    16,270.20x = 24,409.64 × 6,910.64
  4. Step 4: Simplify right side
    16,270.20x = 168,686,234.57
  5. Step 5: Solve for x
    x = 168,686,234.57/16,270.20
  6. Step 6: Final answer
    x = 10,367.80

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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.