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Finding the Fourth Proportional to 22,738.83, 31,379.09 and 12,667.22

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Solution

The fourth proportional to 22,738.83, 31,379.09 and 12,667.22 is: 17,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,738.83 : 31,379.09 = 12,667.22 : x
  2. Step 2: Convert to fraction form
    22,738.83/31,379.09 = 12,667.22/x
  3. Step 3: Cross multiply
    22,738.83x = 31,379.09 × 12,667.22
  4. Step 4: Simplify right side
    22,738.83x = 397,485,616.20
  5. Step 5: Solve for x
    x = 397,485,616.20/22,738.83
  6. Step 6: Final answer
    x = 17,480.48

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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.