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Finding the Fourth Proportional to 23,244, 34,871.92 and 6,828

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Solution

The fourth proportional to 23,244, 34,871.92 and 6,828 is: 10,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244 : 34,871.92 = 6,828 : x
  2. Step 2: Convert to fraction form
    23,244/34,871.92 = 6,828/x
  3. Step 3: Cross multiply
    23,244x = 34,871.92 × 6,828
  4. Step 4: Simplify right side
    23,244x = 238,105,469.76
  5. Step 5: Solve for x
    x = 238,105,469.76/23,244
  6. Step 6: Final answer
    x = 10,243.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.