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Finding the Fourth Proportional to 16,449.24, 24,662.90 and 9,057.18

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Solution

The fourth proportional to 16,449.24, 24,662.90 and 9,057.18 is: 13,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.24 : 24,662.90 = 9,057.18 : x
  2. Step 2: Convert to fraction form
    16,449.24/24,662.90 = 9,057.18/x
  3. Step 3: Cross multiply
    16,449.24x = 24,662.90 × 9,057.18
  4. Step 4: Simplify right side
    16,449.24x = 223,376,324.62
  5. Step 5: Solve for x
    x = 223,376,324.62/16,449.24
  6. Step 6: Final answer
    x = 13,579.74

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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.