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Finding the Fourth Proportional to 13,003.32, 17,949.12 and 8,286.68

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Solution

The fourth proportional to 13,003.32, 17,949.12 and 8,286.68 is: 11,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.32 : 17,949.12 = 8,286.68 : x
  2. Step 2: Convert to fraction form
    13,003.32/17,949.12 = 8,286.68/x
  3. Step 3: Cross multiply
    13,003.32x = 17,949.12 × 8,286.68
  4. Step 4: Simplify right side
    13,003.32x = 148,738,613.72
  5. Step 5: Solve for x
    x = 148,738,613.72/13,003.32
  6. Step 6: Final answer
    x = 11,438.51

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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.