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Finding the Fourth Proportional to 12,649.24, 17,464.08 and 8,179.84

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Solution

The fourth proportional to 12,649.24, 17,464.08 and 8,179.84 is: 11,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.24 : 17,464.08 = 8,179.84 : x
  2. Step 2: Convert to fraction form
    12,649.24/17,464.08 = 8,179.84/x
  3. Step 3: Cross multiply
    12,649.24x = 17,464.08 × 8,179.84
  4. Step 4: Simplify right side
    12,649.24x = 142,853,380.15
  5. Step 5: Solve for x
    x = 142,853,380.15/12,649.24
  6. Step 6: Final answer
    x = 11,293.44

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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.