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Finding the Fourth Proportional to 13,418.92, 18,519 and 8,113.96

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Solution

The fourth proportional to 13,418.92, 18,519 and 8,113.96 is: 11,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.92 : 18,519 = 8,113.96 : x
  2. Step 2: Convert to fraction form
    13,418.92/18,519 = 8,113.96/x
  3. Step 3: Cross multiply
    13,418.92x = 18,519 × 8,113.96
  4. Step 4: Simplify right side
    13,418.92x = 150,262,425.24
  5. Step 5: Solve for x
    x = 150,262,425.24/13,418.92
  6. Step 6: Final answer
    x = 11,197.80

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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.