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Finding the Fourth Proportional to 23,982.33, 35,968.44 and 6,452.31

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Solution

The fourth proportional to 23,982.33, 35,968.44 and 6,452.31 is: 9,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982.33 : 35,968.44 = 6,452.31 : x
  2. Step 2: Convert to fraction form
    23,982.33/35,968.44 = 6,452.31/x
  3. Step 3: Cross multiply
    23,982.33x = 35,968.44 × 6,452.31
  4. Step 4: Simplify right side
    23,982.33x = 232,079,525.10
  5. Step 5: Solve for x
    x = 232,079,525.10/23,982.33
  6. Step 6: Final answer
    x = 9,677.10

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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.