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Finding the Fourth Proportional to 12,115.44, 16,714.20 and 8,137.84

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Solution

The fourth proportional to 12,115.44, 16,714.20 and 8,137.84 is: 11,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.44 : 16,714.20 = 8,137.84 : x
  2. Step 2: Convert to fraction form
    12,115.44/16,714.20 = 8,137.84/x
  3. Step 3: Cross multiply
    12,115.44x = 16,714.20 × 8,137.84
  4. Step 4: Simplify right side
    12,115.44x = 136,017,485.33
  5. Step 5: Solve for x
    x = 136,017,485.33/12,115.44
  6. Step 6: Final answer
    x = 11,226.79

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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.