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Finding the Fourth Proportional to 15,131.16, 20,879.39 and 8,415.71

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Solution

The fourth proportional to 15,131.16, 20,879.39 and 8,415.71 is: 11,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.16 : 20,879.39 = 8,415.71 : x
  2. Step 2: Convert to fraction form
    15,131.16/20,879.39 = 8,415.71/x
  3. Step 3: Cross multiply
    15,131.16x = 20,879.39 × 8,415.71
  4. Step 4: Simplify right side
    15,131.16x = 175,714,922.38
  5. Step 5: Solve for x
    x = 175,714,922.38/15,131.16
  6. Step 6: Final answer
    x = 11,612.78

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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.