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Finding the Fourth Proportional to 12,451.56, 17,181.72 and 7,414.77

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Solution

The fourth proportional to 12,451.56, 17,181.72 and 7,414.77 is: 10,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.56 : 17,181.72 = 7,414.77 : x
  2. Step 2: Convert to fraction form
    12,451.56/17,181.72 = 7,414.77/x
  3. Step 3: Cross multiply
    12,451.56x = 17,181.72 × 7,414.77
  4. Step 4: Simplify right side
    12,451.56x = 127,398,566.44
  5. Step 5: Solve for x
    x = 127,398,566.44/12,451.56
  6. Step 6: Final answer
    x = 10,231.54

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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.