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Finding the Fourth Proportional to 13,480.14, 20,120.41 and 12,649.08

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Solution

The fourth proportional to 13,480.14, 20,120.41 and 12,649.08 is: 18,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.14 : 20,120.41 = 12,649.08 : x
  2. Step 2: Convert to fraction form
    13,480.14/20,120.41 = 12,649.08/x
  3. Step 3: Cross multiply
    13,480.14x = 20,120.41 × 12,649.08
  4. Step 4: Simplify right side
    13,480.14x = 254,504,612.48
  5. Step 5: Solve for x
    x = 254,504,612.48/13,480.14
  6. Step 6: Final answer
    x = 18,879.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.