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Finding the Fourth Proportional to 13,996.20, 19,314 and 8,691.42

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Solution

The fourth proportional to 13,996.20, 19,314 and 8,691.42 is: 11,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.20 : 19,314 = 8,691.42 : x
  2. Step 2: Convert to fraction form
    13,996.20/19,314 = 8,691.42/x
  3. Step 3: Cross multiply
    13,996.20x = 19,314 × 8,691.42
  4. Step 4: Simplify right side
    13,996.20x = 167,866,085.88
  5. Step 5: Solve for x
    x = 167,866,085.88/13,996.20
  6. Step 6: Final answer
    x = 11,993.69

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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.