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Finding the Fourth Proportional to 14,712.13, 20,304.44 and 8,743.75

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Solution

The fourth proportional to 14,712.13, 20,304.44 and 8,743.75 is: 12,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.13 : 20,304.44 = 8,743.75 : x
  2. Step 2: Convert to fraction form
    14,712.13/20,304.44 = 8,743.75/x
  3. Step 3: Cross multiply
    14,712.13x = 20,304.44 × 8,743.75
  4. Step 4: Simplify right side
    14,712.13x = 177,536,845.73
  5. Step 5: Solve for x
    x = 177,536,845.73/14,712.13
  6. Step 6: Final answer
    x = 12,067.38

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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.