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Finding the Fourth Proportional to 13,642.32, 18,819.72 and 8,327.91

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Solution

The fourth proportional to 13,642.32, 18,819.72 and 8,327.91 is: 11,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.32 : 18,819.72 = 8,327.91 : x
  2. Step 2: Convert to fraction form
    13,642.32/18,819.72 = 8,327.91/x
  3. Step 3: Cross multiply
    13,642.32x = 18,819.72 × 8,327.91
  4. Step 4: Simplify right side
    13,642.32x = 156,728,934.39
  5. Step 5: Solve for x
    x = 156,728,934.39/13,642.32
  6. Step 6: Final answer
    x = 11,488.44

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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.