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Finding the Fourth Proportional to 17,223.50, 23,770.80 and 9,568.49

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Solution

The fourth proportional to 17,223.50, 23,770.80 and 9,568.49 is: 13,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.50 : 23,770.80 = 9,568.49 : x
  2. Step 2: Convert to fraction form
    17,223.50/23,770.80 = 9,568.49/x
  3. Step 3: Cross multiply
    17,223.50x = 23,770.80 × 9,568.49
  4. Step 4: Simplify right side
    17,223.50x = 227,450,543.24
  5. Step 5: Solve for x
    x = 227,450,543.24/17,223.50
  6. Step 6: Final answer
    x = 13,205.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.