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Finding the Fourth Proportional to 13,149.46, 19,723.38 and 5,753.08

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Solution

The fourth proportional to 13,149.46, 19,723.38 and 5,753.08 is: 8,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.46 : 19,723.38 = 5,753.08 : x
  2. Step 2: Convert to fraction form
    13,149.46/19,723.38 = 5,753.08/x
  3. Step 3: Cross multiply
    13,149.46x = 19,723.38 × 5,753.08
  4. Step 4: Simplify right side
    13,149.46x = 113,470,183.01
  5. Step 5: Solve for x
    x = 113,470,183.01/13,149.46
  6. Step 6: Final answer
    x = 8,629.27

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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.