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Finding the Fourth Proportional to 19,682.34, 29,517.15 and 6,531.18

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Solution

The fourth proportional to 19,682.34, 29,517.15 and 6,531.18 is: 9,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.34 : 29,517.15 = 6,531.18 : x
  2. Step 2: Convert to fraction form
    19,682.34/29,517.15 = 6,531.18/x
  3. Step 3: Cross multiply
    19,682.34x = 29,517.15 × 6,531.18
  4. Step 4: Simplify right side
    19,682.34x = 192,781,819.74
  5. Step 5: Solve for x
    x = 192,781,819.74/19,682.34
  6. Step 6: Final answer
    x = 9,794.66

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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.