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Finding the Fourth Proportional to 23,920.85, 35,882.75 and 7,282.12

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Solution

The fourth proportional to 23,920.85, 35,882.75 and 7,282.12 is: 10,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.85 : 35,882.75 = 7,282.12 : x
  2. Step 2: Convert to fraction form
    23,920.85/35,882.75 = 7,282.12/x
  3. Step 3: Cross multiply
    23,920.85x = 35,882.75 × 7,282.12
  4. Step 4: Simplify right side
    23,920.85x = 261,302,446.25
  5. Step 5: Solve for x
    x = 261,302,446.25/23,920.85
  6. Step 6: Final answer
    x = 10,923.63

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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.