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Finding the Fourth Proportional to 18,400, 27,604.09 and 6,713.19

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Solution

The fourth proportional to 18,400, 27,604.09 and 6,713.19 is: 10,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400 : 27,604.09 = 6,713.19 : x
  2. Step 2: Convert to fraction form
    18,400/27,604.09 = 6,713.19/x
  3. Step 3: Cross multiply
    18,400x = 27,604.09 × 6,713.19
  4. Step 4: Simplify right side
    18,400x = 185,311,500.95
  5. Step 5: Solve for x
    x = 185,311,500.95/18,400
  6. Step 6: Final answer
    x = 10,071.28

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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.