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Finding the Fourth Proportional to 22,951.14, 31,675.89 and 12,744.54

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Solution

The fourth proportional to 22,951.14, 31,675.89 and 12,744.54 is: 17,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.14 : 31,675.89 = 12,744.54 : x
  2. Step 2: Convert to fraction form
    22,951.14/31,675.89 = 12,744.54/x
  3. Step 3: Cross multiply
    22,951.14x = 31,675.89 × 12,744.54
  4. Step 4: Simplify right side
    22,951.14x = 403,694,647.14
  5. Step 5: Solve for x
    x = 403,694,647.14/22,951.14
  6. Step 6: Final answer
    x = 17,589.31

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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.