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Finding the Fourth Proportional to 17,196.57, 25,792.56 and 7,826.49

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Solution

The fourth proportional to 17,196.57, 25,792.56 and 7,826.49 is: 11,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.57 : 25,792.56 = 7,826.49 : x
  2. Step 2: Convert to fraction form
    17,196.57/25,792.56 = 7,826.49/x
  3. Step 3: Cross multiply
    17,196.57x = 25,792.56 × 7,826.49
  4. Step 4: Simplify right side
    17,196.57x = 201,865,212.91
  5. Step 5: Solve for x
    x = 201,865,212.91/17,196.57
  6. Step 6: Final answer
    x = 11,738.69

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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.