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Finding the Fourth Proportional to 15,131.74, 20,879.26 and 8,416.48

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Solution

The fourth proportional to 15,131.74, 20,879.26 and 8,416.48 is: 11,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.74 : 20,879.26 = 8,416.48 : x
  2. Step 2: Convert to fraction form
    15,131.74/20,879.26 = 8,416.48/x
  3. Step 3: Cross multiply
    15,131.74x = 20,879.26 × 8,416.48
  4. Step 4: Simplify right side
    15,131.74x = 175,729,874.20
  5. Step 5: Solve for x
    x = 175,729,874.20/15,131.74
  6. Step 6: Final answer
    x = 11,613.33

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