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Finding the Fourth Proportional to 12,682.28, 18,967.52 and 11,519.66

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Solution

The fourth proportional to 12,682.28, 18,967.52 and 11,519.66 is: 17,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.28 : 18,967.52 = 11,519.66 : x
  2. Step 2: Convert to fraction form
    12,682.28/18,967.52 = 11,519.66/x
  3. Step 3: Cross multiply
    12,682.28x = 18,967.52 × 11,519.66
  4. Step 4: Simplify right side
    12,682.28x = 218,499,381.44
  5. Step 5: Solve for x
    x = 218,499,381.44/12,682.28
  6. Step 6: Final answer
    x = 17,228.71

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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.