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Finding the Fourth Proportional to 12,635.28, 17,439.84 and 8,164.08

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Solution

The fourth proportional to 12,635.28, 17,439.84 and 8,164.08 is: 11,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.28 : 17,439.84 = 8,164.08 : x
  2. Step 2: Convert to fraction form
    12,635.28/17,439.84 = 8,164.08/x
  3. Step 3: Cross multiply
    12,635.28x = 17,439.84 × 8,164.08
  4. Step 4: Simplify right side
    12,635.28x = 142,380,248.95
  5. Step 5: Solve for x
    x = 142,380,248.95/12,635.28
  6. Step 6: Final answer
    x = 11,268.47

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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.