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Finding the Fourth Proportional to 18,424.94, 27,604.38 and 11,199

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Solution

The fourth proportional to 18,424.94, 27,604.38 and 11,199 is: 16,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424.94 : 27,604.38 = 11,199 : x
  2. Step 2: Convert to fraction form
    18,424.94/27,604.38 = 11,199/x
  3. Step 3: Cross multiply
    18,424.94x = 27,604.38 × 11,199
  4. Step 4: Simplify right side
    18,424.94x = 309,141,451.62
  5. Step 5: Solve for x
    x = 309,141,451.62/18,424.94
  6. Step 6: Final answer
    x = 16,778.42

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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.