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Finding the Fourth Proportional to 16,735.85, 25,106.09 and 5,645.70

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Solution

The fourth proportional to 16,735.85, 25,106.09 and 5,645.70 is: 8,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.85 : 25,106.09 = 5,645.70 : x
  2. Step 2: Convert to fraction form
    16,735.85/25,106.09 = 5,645.70/x
  3. Step 3: Cross multiply
    16,735.85x = 25,106.09 × 5,645.70
  4. Step 4: Simplify right side
    16,735.85x = 141,741,424.08
  5. Step 5: Solve for x
    x = 141,741,424.08/16,735.85
  6. Step 6: Final answer
    x = 8,469.33

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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.