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Finding the Fourth Proportional to 16,464.20, 24,700.20 and 5,370.96

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Solution

The fourth proportional to 16,464.20, 24,700.20 and 5,370.96 is: 8,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.20 : 24,700.20 = 5,370.96 : x
  2. Step 2: Convert to fraction form
    16,464.20/24,700.20 = 5,370.96/x
  3. Step 3: Cross multiply
    16,464.20x = 24,700.20 × 5,370.96
  4. Step 4: Simplify right side
    16,464.20x = 132,663,786.19
  5. Step 5: Solve for x
    x = 132,663,786.19/16,464.20
  6. Step 6: Final answer
    x = 8,057.71

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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.