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Finding the Fourth Proportional to 22,922.74, 34,388.43 and 9,072.82

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Solution

The fourth proportional to 22,922.74, 34,388.43 and 9,072.82 is: 13,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.74 : 34,388.43 = 9,072.82 : x
  2. Step 2: Convert to fraction form
    22,922.74/34,388.43 = 9,072.82/x
  3. Step 3: Cross multiply
    22,922.74x = 34,388.43 × 9,072.82
  4. Step 4: Simplify right side
    22,922.74x = 312,000,035.47
  5. Step 5: Solve for x
    x = 312,000,035.47/22,922.74
  6. Step 6: Final answer
    x = 13,610.94

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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.