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Finding the Fourth Proportional to 13,568.38, 18,725.92 and 8,266.30

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Solution

The fourth proportional to 13,568.38, 18,725.92 and 8,266.30 is: 11,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.38 : 18,725.92 = 8,266.30 : x
  2. Step 2: Convert to fraction form
    13,568.38/18,725.92 = 8,266.30/x
  3. Step 3: Cross multiply
    13,568.38x = 18,725.92 × 8,266.30
  4. Step 4: Simplify right side
    13,568.38x = 154,794,072.50
  5. Step 5: Solve for x
    x = 154,794,072.50/13,568.38
  6. Step 6: Final answer
    x = 11,408.44

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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.