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Finding the Fourth Proportional to 19,917.69, 29,879.28 and 6,766.53

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Solution

The fourth proportional to 19,917.69, 29,879.28 and 6,766.53 is: 10,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,917.69 : 29,879.28 = 6,766.53 : x
  2. Step 2: Convert to fraction form
    19,917.69/29,879.28 = 6,766.53/x
  3. Step 3: Cross multiply
    19,917.69x = 29,879.28 × 6,766.53
  4. Step 4: Simplify right side
    19,917.69x = 202,179,044.50
  5. Step 5: Solve for x
    x = 202,179,044.50/19,917.69
  6. Step 6: Final answer
    x = 10,150.73

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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.