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Finding the Fourth Proportional to 22,513.98, 31,067.67 and 12,442.30

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Solution

The fourth proportional to 22,513.98, 31,067.67 and 12,442.30 is: 17,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.98 : 31,067.67 = 12,442.30 : x
  2. Step 2: Convert to fraction form
    22,513.98/31,067.67 = 12,442.30/x
  3. Step 3: Cross multiply
    22,513.98x = 31,067.67 × 12,442.30
  4. Step 4: Simplify right side
    22,513.98x = 386,553,270.44
  5. Step 5: Solve for x
    x = 386,553,270.44/22,513.98
  6. Step 6: Final answer
    x = 17,169.48

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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.