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Finding the Fourth Proportional to 23,883.65, 35,825.57 and 7,243.85

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Solution

The fourth proportional to 23,883.65, 35,825.57 and 7,243.85 is: 10,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.65 : 35,825.57 = 7,243.85 : x
  2. Step 2: Convert to fraction form
    23,883.65/35,825.57 = 7,243.85/x
  3. Step 3: Cross multiply
    23,883.65x = 35,825.57 × 7,243.85
  4. Step 4: Simplify right side
    23,883.65x = 259,515,055.24
  5. Step 5: Solve for x
    x = 259,515,055.24/23,883.65
  6. Step 6: Final answer
    x = 10,865.80

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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.