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Finding the Fourth Proportional to 18,516, 27,775.44 and 6,204

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Solution

The fourth proportional to 18,516, 27,775.44 and 6,204 is: 9,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,516 : 27,775.44 = 6,204 : x
  2. Step 2: Convert to fraction form
    18,516/27,775.44 = 6,204/x
  3. Step 3: Cross multiply
    18,516x = 27,775.44 × 6,204
  4. Step 4: Simplify right side
    18,516x = 172,318,829.76
  5. Step 5: Solve for x
    x = 172,318,829.76/18,516
  6. Step 6: Final answer
    x = 9,306.48

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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.