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Finding the Fourth Proportional to 23,234.79, 34,839.82 and 9,194.25

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Solution

The fourth proportional to 23,234.79, 34,839.82 and 9,194.25 is: 13,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.79 : 34,839.82 = 9,194.25 : x
  2. Step 2: Convert to fraction form
    23,234.79/34,839.82 = 9,194.25/x
  3. Step 3: Cross multiply
    23,234.79x = 34,839.82 × 9,194.25
  4. Step 4: Simplify right side
    23,234.79x = 320,326,015.04
  5. Step 5: Solve for x
    x = 320,326,015.04/23,234.79
  6. Step 6: Final answer
    x = 13,786.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.