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Finding the Fourth Proportional to 23,248, 34,872 and 6,832

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Solution

The fourth proportional to 23,248, 34,872 and 6,832 is: 10,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,248 : 34,872 = 6,832 : x
  2. Step 2: Convert to fraction form
    23,248/34,872 = 6,832/x
  3. Step 3: Cross multiply
    23,248x = 34,872 × 6,832
  4. Step 4: Simplify right side
    23,248x = 238,245,504
  5. Step 5: Solve for x
    x = 238,245,504/23,248
  6. Step 6: Final answer
    x = 10,248

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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.