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Finding the Fourth Proportional to 23,228.22, 34,844.49 and 7,645.98

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Solution

The fourth proportional to 23,228.22, 34,844.49 and 7,645.98 is: 11,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.22 : 34,844.49 = 7,645.98 : x
  2. Step 2: Convert to fraction form
    23,228.22/34,844.49 = 7,645.98/x
  3. Step 3: Cross multiply
    23,228.22x = 34,844.49 × 7,645.98
  4. Step 4: Simplify right side
    23,228.22x = 266,420,273.65
  5. Step 5: Solve for x
    x = 266,420,273.65/23,228.22
  6. Step 6: Final answer
    x = 11,469.68

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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.