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Finding the Fourth Proportional to 15,171, 22,760.34 and 4,227

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Solution

The fourth proportional to 15,171, 22,760.34 and 4,227 is: 6,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171 : 22,760.34 = 4,227 : x
  2. Step 2: Convert to fraction form
    15,171/22,760.34 = 4,227/x
  3. Step 3: Cross multiply
    15,171x = 22,760.34 × 4,227
  4. Step 4: Simplify right side
    15,171x = 96,207,957.18
  5. Step 5: Solve for x
    x = 96,207,957.18/15,171
  6. Step 6: Final answer
    x = 6,341.57

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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.