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Finding the Fourth Proportional to 17,268, 25,905.12 and 11,429.44

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Solution

The fourth proportional to 17,268, 25,905.12 and 11,429.44 is: 17,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268 : 25,905.12 = 11,429.44 : x
  2. Step 2: Convert to fraction form
    17,268/25,905.12 = 11,429.44/x
  3. Step 3: Cross multiply
    17,268x = 25,905.12 × 11,429.44
  4. Step 4: Simplify right side
    17,268x = 296,081,014.73
  5. Step 5: Solve for x
    x = 296,081,014.73/17,268
  6. Step 6: Final answer
    x = 17,146.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.