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Finding the Fourth Proportional to 18,196, 27,294 and 5,884

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Solution

The fourth proportional to 18,196, 27,294 and 5,884 is: 8,826

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196 : 27,294 = 5,884 : x
  2. Step 2: Convert to fraction form
    18,196/27,294 = 5,884/x
  3. Step 3: Cross multiply
    18,196x = 27,294 × 5,884
  4. Step 4: Simplify right side
    18,196x = 160,597,896
  5. Step 5: Solve for x
    x = 160,597,896/18,196
  6. Step 6: Final answer
    x = 8,826

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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.