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Finding the Fourth Proportional to 22,625.14, 33,942.58 and 6,828.85

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Solution

The fourth proportional to 22,625.14, 33,942.58 and 6,828.85 is: 10,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,625.14 : 33,942.58 = 6,828.85 : x
  2. Step 2: Convert to fraction form
    22,625.14/33,942.58 = 6,828.85/x
  3. Step 3: Cross multiply
    22,625.14x = 33,942.58 × 6,828.85
  4. Step 4: Simplify right side
    22,625.14x = 231,788,600.65
  5. Step 5: Solve for x
    x = 231,788,600.65/22,625.14
  6. Step 6: Final answer
    x = 10,244.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.