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Finding the Fourth Proportional to 18,013, 27,023.84 and 5,701

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Solution

The fourth proportional to 18,013, 27,023.84 and 5,701 is: 8,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013 : 27,023.84 = 5,701 : x
  2. Step 2: Convert to fraction form
    18,013/27,023.84 = 5,701/x
  3. Step 3: Cross multiply
    18,013x = 27,023.84 × 5,701
  4. Step 4: Simplify right side
    18,013x = 154,062,911.84
  5. Step 5: Solve for x
    x = 154,062,911.84/18,013
  6. Step 6: Final answer
    x = 8,552.87

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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.