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Finding the Fourth Proportional to 17,696.25, 26,538.05 and 5,847.83

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Solution

The fourth proportional to 17,696.25, 26,538.05 and 5,847.83 is: 8,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.25 : 26,538.05 = 5,847.83 : x
  2. Step 2: Convert to fraction form
    17,696.25/26,538.05 = 5,847.83/x
  3. Step 3: Cross multiply
    17,696.25x = 26,538.05 × 5,847.83
  4. Step 4: Simplify right side
    17,696.25x = 155,190,077.78
  5. Step 5: Solve for x
    x = 155,190,077.78/17,696.25
  6. Step 6: Final answer
    x = 8,769.66

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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.