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Finding the Fourth Proportional to 12,107.88, 16,714.62 and 8,131.86

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Solution

The fourth proportional to 12,107.88, 16,714.62 and 8,131.86 is: 11,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.88 : 16,714.62 = 8,131.86 : x
  2. Step 2: Convert to fraction form
    12,107.88/16,714.62 = 8,131.86/x
  3. Step 3: Cross multiply
    12,107.88x = 16,714.62 × 8,131.86
  4. Step 4: Simplify right side
    12,107.88x = 135,920,949.79
  5. Step 5: Solve for x
    x = 135,920,949.79/12,107.88
  6. Step 6: Final answer
    x = 11,225.83

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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.