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Finding the Fourth Proportional to 22,238.85, 30,697.41 and 13,747.47

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Solution

The fourth proportional to 22,238.85, 30,697.41 and 13,747.47 is: 18,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.85 : 30,697.41 = 13,747.47 : x
  2. Step 2: Convert to fraction form
    22,238.85/30,697.41 = 13,747.47/x
  3. Step 3: Cross multiply
    22,238.85x = 30,697.41 × 13,747.47
  4. Step 4: Simplify right side
    22,238.85x = 422,011,723.05
  5. Step 5: Solve for x
    x = 422,011,723.05/22,238.85
  6. Step 6: Final answer
    x = 18,976.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.