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Finding the Fourth Proportional to 18,273.20, 27,416.20 and 6,586.80

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Solution

The fourth proportional to 18,273.20, 27,416.20 and 6,586.80 is: 9,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,273.20 : 27,416.20 = 6,586.80 : x
  2. Step 2: Convert to fraction form
    18,273.20/27,416.20 = 6,586.80/x
  3. Step 3: Cross multiply
    18,273.20x = 27,416.20 × 6,586.80
  4. Step 4: Simplify right side
    18,273.20x = 180,585,026.16
  5. Step 5: Solve for x
    x = 180,585,026.16/18,273.20
  6. Step 6: Final answer
    x = 9,882.51

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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.