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Finding the Fourth Proportional to 17,701.80, 26,546.58 and 7,847.97

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Solution

The fourth proportional to 17,701.80, 26,546.58 and 7,847.97 is: 11,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.80 : 26,546.58 = 7,847.97 : x
  2. Step 2: Convert to fraction form
    17,701.80/26,546.58 = 7,847.97/x
  3. Step 3: Cross multiply
    17,701.80x = 26,546.58 × 7,847.97
  4. Step 4: Simplify right side
    17,701.80x = 208,336,763.44
  5. Step 5: Solve for x
    x = 208,336,763.44/17,701.80
  6. Step 6: Final answer
    x = 11,769.24

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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.