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Finding the Fourth Proportional to 13,408.49, 18,512.38 and 8,309.42

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Solution

The fourth proportional to 13,408.49, 18,512.38 and 8,309.42 is: 11,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.49 : 18,512.38 = 8,309.42 : x
  2. Step 2: Convert to fraction form
    13,408.49/18,512.38 = 8,309.42/x
  3. Step 3: Cross multiply
    13,408.49x = 18,512.38 × 8,309.42
  4. Step 4: Simplify right side
    13,408.49x = 153,827,140.62
  5. Step 5: Solve for x
    x = 153,827,140.62/13,408.49
  6. Step 6: Final answer
    x = 11,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.