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Finding the Fourth Proportional to 15,982.20, 22,055 and 9,176.03

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Solution

The fourth proportional to 15,982.20, 22,055 and 9,176.03 is: 12,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.20 : 22,055 = 9,176.03 : x
  2. Step 2: Convert to fraction form
    15,982.20/22,055 = 9,176.03/x
  3. Step 3: Cross multiply
    15,982.20x = 22,055 × 9,176.03
  4. Step 4: Simplify right side
    15,982.20x = 202,377,231.38
  5. Step 5: Solve for x
    x = 202,377,231.38/15,982.20
  6. Step 6: Final answer
    x = 12,662.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.