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Finding the Fourth Proportional to 15,766.22, 23,649.94 and 5,377.97

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Solution

The fourth proportional to 15,766.22, 23,649.94 and 5,377.97 is: 8,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.22 : 23,649.94 = 5,377.97 : x
  2. Step 2: Convert to fraction form
    15,766.22/23,649.94 = 5,377.97/x
  3. Step 3: Cross multiply
    15,766.22x = 23,649.94 × 5,377.97
  4. Step 4: Simplify right side
    15,766.22x = 127,188,713.50
  5. Step 5: Solve for x
    x = 127,188,713.50/15,766.22
  6. Step 6: Final answer
    x = 8,067.16

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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.