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Finding the Fourth Proportional to 18,400.27, 27,604.50 and 6,713.49

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Solution

The fourth proportional to 18,400.27, 27,604.50 and 6,713.49 is: 10,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.27 : 27,604.50 = 6,713.49 : x
  2. Step 2: Convert to fraction form
    18,400.27/27,604.50 = 6,713.49/x
  3. Step 3: Cross multiply
    18,400.27x = 27,604.50 × 6,713.49
  4. Step 4: Simplify right side
    18,400.27x = 185,322,396.68
  5. Step 5: Solve for x
    x = 185,322,396.68/18,400.27
  6. Step 6: Final answer
    x = 10,071.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.