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Finding the Fourth Proportional to 13,691.70, 18,893.25 and 8,385.66

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Solution

The fourth proportional to 13,691.70, 18,893.25 and 8,385.66 is: 11,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.70 : 18,893.25 = 8,385.66 : x
  2. Step 2: Convert to fraction form
    13,691.70/18,893.25 = 8,385.66/x
  3. Step 3: Cross multiply
    13,691.70x = 18,893.25 × 8,385.66
  4. Step 4: Simplify right side
    13,691.70x = 158,432,370.80
  5. Step 5: Solve for x
    x = 158,432,370.80/13,691.70
  6. Step 6: Final answer
    x = 11,571.42

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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.