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Finding the Fourth Proportional to 22,996.26, 31,735.97 and 14,042.32

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Solution

The fourth proportional to 22,996.26, 31,735.97 and 14,042.32 is: 19,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.26 : 31,735.97 = 14,042.32 : x
  2. Step 2: Convert to fraction form
    22,996.26/31,735.97 = 14,042.32/x
  3. Step 3: Cross multiply
    22,996.26x = 31,735.97 × 14,042.32
  4. Step 4: Simplify right side
    22,996.26x = 445,646,549.36
  5. Step 5: Solve for x
    x = 445,646,549.36/22,996.26
  6. Step 6: Final answer
    x = 19,379.09

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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.