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Finding the Fourth Proportional to 11,809.80, 17,714.70 and 8,067.60

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Solution

The fourth proportional to 11,809.80, 17,714.70 and 8,067.60 is: 12,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.80 : 17,714.70 = 8,067.60 : x
  2. Step 2: Convert to fraction form
    11,809.80/17,714.70 = 8,067.60/x
  3. Step 3: Cross multiply
    11,809.80x = 17,714.70 × 8,067.60
  4. Step 4: Simplify right side
    11,809.80x = 142,915,113.72
  5. Step 5: Solve for x
    x = 142,915,113.72/11,809.80
  6. Step 6: Final answer
    x = 12,101.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.