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Finding the Fourth Proportional to 17,236.24, 25,857.04 and 8,471.84

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Solution

The fourth proportional to 17,236.24, 25,857.04 and 8,471.84 is: 12,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.24 : 25,857.04 = 8,471.84 : x
  2. Step 2: Convert to fraction form
    17,236.24/25,857.04 = 8,471.84/x
  3. Step 3: Cross multiply
    17,236.24x = 25,857.04 × 8,471.84
  4. Step 4: Simplify right side
    17,236.24x = 219,056,705.75
  5. Step 5: Solve for x
    x = 219,056,705.75/17,236.24
  6. Step 6: Final answer
    x = 12,709.08

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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.