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Finding the Fourth Proportional to 23,934.25, 35,906.55 and 7,293.84

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Solution

The fourth proportional to 23,934.25, 35,906.55 and 7,293.84 is: 10,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,934.25 : 35,906.55 = 7,293.84 : x
  2. Step 2: Convert to fraction form
    23,934.25/35,906.55 = 7,293.84/x
  3. Step 3: Cross multiply
    23,934.25x = 35,906.55 × 7,293.84
  4. Step 4: Simplify right side
    23,934.25x = 261,896,630.65
  5. Step 5: Solve for x
    x = 261,896,630.65/23,934.25
  6. Step 6: Final answer
    x = 10,942.34

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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.