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Finding the Fourth Proportional to 18,298.19, 27,440.39 and 7,198.80

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Solution

The fourth proportional to 18,298.19, 27,440.39 and 7,198.80 is: 10,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298.19 : 27,440.39 = 7,198.80 : x
  2. Step 2: Convert to fraction form
    18,298.19/27,440.39 = 7,198.80/x
  3. Step 3: Cross multiply
    18,298.19x = 27,440.39 × 7,198.80
  4. Step 4: Simplify right side
    18,298.19x = 197,537,843.54
  5. Step 5: Solve for x
    x = 197,537,843.54/18,298.19
  6. Step 6: Final answer
    x = 10,795.49

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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.