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Finding the Fourth Proportional to 16,735.96, 25,073.34 and 7,834.96

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Solution

The fourth proportional to 16,735.96, 25,073.34 and 7,834.96 is: 11,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.96 : 25,073.34 = 7,834.96 : x
  2. Step 2: Convert to fraction form
    16,735.96/25,073.34 = 7,834.96/x
  3. Step 3: Cross multiply
    16,735.96x = 25,073.34 × 7,834.96
  4. Step 4: Simplify right side
    16,735.96x = 196,448,615.97
  5. Step 5: Solve for x
    x = 196,448,615.97/16,735.96
  6. Step 6: Final answer
    x = 11,738.11

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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.