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Finding the Fourth Proportional to 12,147.60, 16,757.64 and 8,168.88

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Solution

The fourth proportional to 12,147.60, 16,757.64 and 8,168.88 is: 11,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.60 : 16,757.64 = 8,168.88 : x
  2. Step 2: Convert to fraction form
    12,147.60/16,757.64 = 8,168.88/x
  3. Step 3: Cross multiply
    12,147.60x = 16,757.64 × 8,168.88
  4. Step 4: Simplify right side
    12,147.60x = 136,891,150.24
  5. Step 5: Solve for x
    x = 136,891,150.24/12,147.60
  6. Step 6: Final answer
    x = 11,268.99

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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.