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Finding the Fourth Proportional to 22,643.22, 31,249.62 and 13,214.82

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Solution

The fourth proportional to 22,643.22, 31,249.62 and 13,214.82 is: 18,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.22 : 31,249.62 = 13,214.82 : x
  2. Step 2: Convert to fraction form
    22,643.22/31,249.62 = 13,214.82/x
  3. Step 3: Cross multiply
    22,643.22x = 31,249.62 × 13,214.82
  4. Step 4: Simplify right side
    22,643.22x = 412,958,103.37
  5. Step 5: Solve for x
    x = 412,958,103.37/22,643.22
  6. Step 6: Final answer
    x = 18,237.61

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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.