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Finding the Fourth Proportional to 19,839.90, 29,759.82 and 8,144.88

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Solution

The fourth proportional to 19,839.90, 29,759.82 and 8,144.88 is: 12,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.90 : 29,759.82 = 8,144.88 : x
  2. Step 2: Convert to fraction form
    19,839.90/29,759.82 = 8,144.88/x
  3. Step 3: Cross multiply
    19,839.90x = 29,759.82 × 8,144.88
  4. Step 4: Simplify right side
    19,839.90x = 242,390,162.72
  5. Step 5: Solve for x
    x = 242,390,162.72/19,839.90
  6. Step 6: Final answer
    x = 12,217.31

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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.