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Finding the Fourth Proportional to 22,429.48, 33,644.22 and 6,846.28

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Solution

The fourth proportional to 22,429.48, 33,644.22 and 6,846.28 is: 10,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.48 : 33,644.22 = 6,846.28 : x
  2. Step 2: Convert to fraction form
    22,429.48/33,644.22 = 6,846.28/x
  3. Step 3: Cross multiply
    22,429.48x = 33,644.22 × 6,846.28
  4. Step 4: Simplify right side
    22,429.48x = 230,337,750.50
  5. Step 5: Solve for x
    x = 230,337,750.50/22,429.48
  6. Step 6: Final answer
    x = 10,269.42

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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.