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Finding the Fourth Proportional to 22,982.70, 34,489.44 and 9,838.29

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Solution

The fourth proportional to 22,982.70, 34,489.44 and 9,838.29 is: 14,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.70 : 34,489.44 = 9,838.29 : x
  2. Step 2: Convert to fraction form
    22,982.70/34,489.44 = 9,838.29/x
  3. Step 3: Cross multiply
    22,982.70x = 34,489.44 × 9,838.29
  4. Step 4: Simplify right side
    22,982.70x = 339,317,112.66
  5. Step 5: Solve for x
    x = 339,317,112.66/22,982.70
  6. Step 6: Final answer
    x = 14,764.02

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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.