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Finding the Fourth Proportional to 17,105, 25,638.82 and 10,867.80

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Solution

The fourth proportional to 17,105, 25,638.82 and 10,867.80 is: 16,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105 : 25,638.82 = 10,867.80 : x
  2. Step 2: Convert to fraction form
    17,105/25,638.82 = 10,867.80/x
  3. Step 3: Cross multiply
    17,105x = 25,638.82 × 10,867.80
  4. Step 4: Simplify right side
    17,105x = 278,637,568.00
  5. Step 5: Solve for x
    x = 278,637,568.00/17,105
  6. Step 6: Final answer
    x = 16,289.83

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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.