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Finding the Fourth Proportional to 23,775.39, 35,669 and 7,135.73

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Solution

The fourth proportional to 23,775.39, 35,669 and 7,135.73 is: 10,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.39 : 35,669 = 7,135.73 : x
  2. Step 2: Convert to fraction form
    23,775.39/35,669 = 7,135.73/x
  3. Step 3: Cross multiply
    23,775.39x = 35,669 × 7,135.73
  4. Step 4: Simplify right side
    23,775.39x = 254,524,175.03
  5. Step 5: Solve for x
    x = 254,524,175.03/23,775.39
  6. Step 6: Final answer
    x = 10,705.37

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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.