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Finding the Fourth Proportional to 22,676.69, 34,015.80 and 10,196.75

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Solution

The fourth proportional to 22,676.69, 34,015.80 and 10,196.75 is: 15,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.69 : 34,015.80 = 10,196.75 : x
  2. Step 2: Convert to fraction form
    22,676.69/34,015.80 = 10,196.75/x
  3. Step 3: Cross multiply
    22,676.69x = 34,015.80 × 10,196.75
  4. Step 4: Simplify right side
    22,676.69x = 346,850,608.65
  5. Step 5: Solve for x
    x = 346,850,608.65/22,676.69
  6. Step 6: Final answer
    x = 15,295.47

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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.