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Finding the Fourth Proportional to 18,200, 27,273.72 and 10,411.04

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Solution

The fourth proportional to 18,200, 27,273.72 and 10,411.04 is: 15,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200 : 27,273.72 = 10,411.04 : x
  2. Step 2: Convert to fraction form
    18,200/27,273.72 = 10,411.04/x
  3. Step 3: Cross multiply
    18,200x = 27,273.72 × 10,411.04
  4. Step 4: Simplify right side
    18,200x = 283,947,789.87
  5. Step 5: Solve for x
    x = 283,947,789.87/18,200
  6. Step 6: Final answer
    x = 15,601.53

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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.