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Finding the Fourth Proportional to 17,583.50, 26,375.26 and 5,271.50

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Solution

The fourth proportional to 17,583.50, 26,375.26 and 5,271.50 is: 7,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.50 : 26,375.26 = 5,271.50 : x
  2. Step 2: Convert to fraction form
    17,583.50/26,375.26 = 5,271.50/x
  3. Step 3: Cross multiply
    17,583.50x = 26,375.26 × 5,271.50
  4. Step 4: Simplify right side
    17,583.50x = 139,037,183.09
  5. Step 5: Solve for x
    x = 139,037,183.09/17,583.50
  6. Step 6: Final answer
    x = 7,907.25

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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.