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Finding the Fourth Proportional to 11,414.58, 17,121.84 and 8,314.32

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Solution

The fourth proportional to 11,414.58, 17,121.84 and 8,314.32 is: 12,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.58 : 17,121.84 = 8,314.32 : x
  2. Step 2: Convert to fraction form
    11,414.58/17,121.84 = 8,314.32/x
  3. Step 3: Cross multiply
    11,414.58x = 17,121.84 × 8,314.32
  4. Step 4: Simplify right side
    11,414.58x = 142,356,456.75
  5. Step 5: Solve for x
    x = 142,356,456.75/11,414.58
  6. Step 6: Final answer
    x = 12,471.46

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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.