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Finding the Fourth Proportional to 13,815, 20,743.26 and 8,293.05

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Solution

The fourth proportional to 13,815, 20,743.26 and 8,293.05 is: 12,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815 : 20,743.26 = 8,293.05 : x
  2. Step 2: Convert to fraction form
    13,815/20,743.26 = 8,293.05/x
  3. Step 3: Cross multiply
    13,815x = 20,743.26 × 8,293.05
  4. Step 4: Simplify right side
    13,815x = 172,024,892.34
  5. Step 5: Solve for x
    x = 172,024,892.34/13,815
  6. Step 6: Final answer
    x = 12,452.04

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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.