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Finding the Fourth Proportional to 15,138.24, 22,708.91 and 5,786.13

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Solution

The fourth proportional to 15,138.24, 22,708.91 and 5,786.13 is: 8,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.24 : 22,708.91 = 5,786.13 : x
  2. Step 2: Convert to fraction form
    15,138.24/22,708.91 = 5,786.13/x
  3. Step 3: Cross multiply
    15,138.24x = 22,708.91 × 5,786.13
  4. Step 4: Simplify right side
    15,138.24x = 131,396,805.04
  5. Step 5: Solve for x
    x = 131,396,805.04/15,138.24
  6. Step 6: Final answer
    x = 8,679.79

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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.