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Finding the Fourth Proportional to 13,438.35, 18,540 and 8,131.23

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Solution

The fourth proportional to 13,438.35, 18,540 and 8,131.23 is: 11,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.35 : 18,540 = 8,131.23 : x
  2. Step 2: Convert to fraction form
    13,438.35/18,540 = 8,131.23/x
  3. Step 3: Cross multiply
    13,438.35x = 18,540 × 8,131.23
  4. Step 4: Simplify right side
    13,438.35x = 150,753,004.20
  5. Step 5: Solve for x
    x = 150,753,004.20/13,438.35
  6. Step 6: Final answer
    x = 11,218.12

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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.