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Finding the Fourth Proportional to 22,147, 33,220.62 and 5,731

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Solution

The fourth proportional to 22,147, 33,220.62 and 5,731 is: 8,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147 : 33,220.62 = 5,731 : x
  2. Step 2: Convert to fraction form
    22,147/33,220.62 = 5,731/x
  3. Step 3: Cross multiply
    22,147x = 33,220.62 × 5,731
  4. Step 4: Simplify right side
    22,147x = 190,387,373.22
  5. Step 5: Solve for x
    x = 190,387,373.22/22,147
  6. Step 6: Final answer
    x = 8,596.53

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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.