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Finding the Fourth Proportional to 12,824.10, 17,691.91 and 8,519.22

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Solution

The fourth proportional to 12,824.10, 17,691.91 and 8,519.22 is: 11,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.10 : 17,691.91 = 8,519.22 : x
  2. Step 2: Convert to fraction form
    12,824.10/17,691.91 = 8,519.22/x
  3. Step 3: Cross multiply
    12,824.10x = 17,691.91 × 8,519.22
  4. Step 4: Simplify right side
    12,824.10x = 150,721,252.21
  5. Step 5: Solve for x
    x = 150,721,252.21/12,824.10
  6. Step 6: Final answer
    x = 11,752.97

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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.