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Finding the Fourth Proportional to 15,091.26, 20,825.84 and 8,377.86

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Solution

The fourth proportional to 15,091.26, 20,825.84 and 8,377.86 is: 11,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.26 : 20,825.84 = 8,377.86 : x
  2. Step 2: Convert to fraction form
    15,091.26/20,825.84 = 8,377.86/x
  3. Step 3: Cross multiply
    15,091.26x = 20,825.84 × 8,377.86
  4. Step 4: Simplify right side
    15,091.26x = 174,475,971.90
  5. Step 5: Solve for x
    x = 174,475,971.90/15,091.26
  6. Step 6: Final answer
    x = 11,561.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.