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Finding the Fourth Proportional to 27,169.36, 40,745.62 and 13,120.65

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Solution

The fourth proportional to 27,169.36, 40,745.62 and 13,120.65 is: 19,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,169.36 : 40,745.62 = 13,120.65 : x
  2. Step 2: Convert to fraction form
    27,169.36/40,745.62 = 13,120.65/x
  3. Step 3: Cross multiply
    27,169.36x = 40,745.62 × 13,120.65
  4. Step 4: Simplify right side
    27,169.36x = 534,609,019.05
  5. Step 5: Solve for x
    x = 534,609,019.05/27,169.36
  6. Step 6: Final answer
    x = 19,676.91

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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.