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Finding the Fourth Proportional to 15,171.70, 22,747.73 and 7,274.02

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Solution

The fourth proportional to 15,171.70, 22,747.73 and 7,274.02 is: 10,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.70 : 22,747.73 = 7,274.02 : x
  2. Step 2: Convert to fraction form
    15,171.70/22,747.73 = 7,274.02/x
  3. Step 3: Cross multiply
    15,171.70x = 22,747.73 × 7,274.02
  4. Step 4: Simplify right side
    15,171.70x = 165,467,442.97
  5. Step 5: Solve for x
    x = 165,467,442.97/15,171.70
  6. Step 6: Final answer
    x = 10,906.32

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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.