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Finding the Fourth Proportional to 17,027.96, 25,489.14 and 9,217.40

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Solution

The fourth proportional to 17,027.96, 25,489.14 and 9,217.40 is: 13,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,027.96 : 25,489.14 = 9,217.40 : x
  2. Step 2: Convert to fraction form
    17,027.96/25,489.14 = 9,217.40/x
  3. Step 3: Cross multiply
    17,027.96x = 25,489.14 × 9,217.40
  4. Step 4: Simplify right side
    17,027.96x = 234,943,599.04
  5. Step 5: Solve for x
    x = 234,943,599.04/17,027.96
  6. Step 6: Final answer
    x = 13,797.52

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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.