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Finding the Fourth Proportional to 17,257.68, 25,898.04 and 9,471.96

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Solution

The fourth proportional to 17,257.68, 25,898.04 and 9,471.96 is: 14,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.68 : 25,898.04 = 9,471.96 : x
  2. Step 2: Convert to fraction form
    17,257.68/25,898.04 = 9,471.96/x
  3. Step 3: Cross multiply
    17,257.68x = 25,898.04 × 9,471.96
  4. Step 4: Simplify right side
    17,257.68x = 245,305,198.96
  5. Step 5: Solve for x
    x = 245,305,198.96/17,257.68
  6. Step 6: Final answer
    x = 14,214.26

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Why These Related Problems?

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