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Finding the Fourth Proportional to 21,891.75, 32,817.04 and 16,546.75

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Solution

The fourth proportional to 21,891.75, 32,817.04 and 16,546.75 is: 24,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.75 : 32,817.04 = 16,546.75 : x
  2. Step 2: Convert to fraction form
    21,891.75/32,817.04 = 16,546.75/x
  3. Step 3: Cross multiply
    21,891.75x = 32,817.04 × 16,546.75
  4. Step 4: Simplify right side
    21,891.75x = 543,015,356.62
  5. Step 5: Solve for x
    x = 543,015,356.62/21,891.75
  6. Step 6: Final answer
    x = 24,804.57

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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.