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Finding the Fourth Proportional to 14,311.62, 19,759.17 and 11,665.32

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Solution

The fourth proportional to 14,311.62, 19,759.17 and 11,665.32 is: 16,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.62 : 19,759.17 = 11,665.32 : x
  2. Step 2: Convert to fraction form
    14,311.62/19,759.17 = 11,665.32/x
  3. Step 3: Cross multiply
    14,311.62x = 19,759.17 × 11,665.32
  4. Step 4: Simplify right side
    14,311.62x = 230,497,040.98
  5. Step 5: Solve for x
    x = 230,497,040.98/14,311.62
  6. Step 6: Final answer
    x = 16,105.59

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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.