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Finding the Fourth Proportional to 13,617.43, 18,794.09 and 8,315.32

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Solution

The fourth proportional to 13,617.43, 18,794.09 and 8,315.32 is: 11,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.43 : 18,794.09 = 8,315.32 : x
  2. Step 2: Convert to fraction form
    13,617.43/18,794.09 = 8,315.32/x
  3. Step 3: Cross multiply
    13,617.43x = 18,794.09 × 8,315.32
  4. Step 4: Simplify right side
    13,617.43x = 156,278,872.46
  5. Step 5: Solve for x
    x = 156,278,872.46/13,617.43
  6. Step 6: Final answer
    x = 11,476.39

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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.