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Finding the Fourth Proportional to 16,000.20, 24,004.04 and 5,470.31

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Solution

The fourth proportional to 16,000.20, 24,004.04 and 5,470.31 is: 8,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.20 : 24,004.04 = 5,470.31 : x
  2. Step 2: Convert to fraction form
    16,000.20/24,004.04 = 5,470.31/x
  3. Step 3: Cross multiply
    16,000.20x = 24,004.04 × 5,470.31
  4. Step 4: Simplify right side
    16,000.20x = 131,309,392.68
  5. Step 5: Solve for x
    x = 131,309,392.68/16,000.20
  6. Step 6: Final answer
    x = 8,206.73

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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.