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Finding the Fourth Proportional to 23,844.78, 35,770.94 and 7,202.75

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Solution

The fourth proportional to 23,844.78, 35,770.94 and 7,202.75 is: 10,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.78 : 35,770.94 = 7,202.75 : x
  2. Step 2: Convert to fraction form
    23,844.78/35,770.94 = 7,202.75/x
  3. Step 3: Cross multiply
    23,844.78x = 35,770.94 × 7,202.75
  4. Step 4: Simplify right side
    23,844.78x = 257,648,923.22
  5. Step 5: Solve for x
    x = 257,648,923.22/23,844.78
  6. Step 6: Final answer
    x = 10,805.25

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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.