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Finding the Fourth Proportional to 23,743.84, 35,618.16 and 6,213.82

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Solution

The fourth proportional to 23,743.84, 35,618.16 and 6,213.82 is: 9,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.84 : 35,618.16 = 6,213.82 : x
  2. Step 2: Convert to fraction form
    23,743.84/35,618.16 = 6,213.82/x
  3. Step 3: Cross multiply
    23,743.84x = 35,618.16 × 6,213.82
  4. Step 4: Simplify right side
    23,743.84x = 221,324,834.97
  5. Step 5: Solve for x
    x = 221,324,834.97/23,743.84
  6. Step 6: Final answer
    x = 9,321.36

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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.