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Finding the Fourth Proportional to 13,004.96, 19,493.13 and 5,105.09

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Solution

The fourth proportional to 13,004.96, 19,493.13 and 5,105.09 is: 7,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.96 : 19,493.13 = 5,105.09 : x
  2. Step 2: Convert to fraction form
    13,004.96/19,493.13 = 5,105.09/x
  3. Step 3: Cross multiply
    13,004.96x = 19,493.13 × 5,105.09
  4. Step 4: Simplify right side
    13,004.96x = 99,514,183.03
  5. Step 5: Solve for x
    x = 99,514,183.03/13,004.96
  6. Step 6: Final answer
    x = 7,652.02

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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.