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Finding the Fourth Proportional to 23,272, 34,914.72 and 6,856

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Solution

The fourth proportional to 23,272, 34,914.72 and 6,856 is: 10,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272 : 34,914.72 = 6,856 : x
  2. Step 2: Convert to fraction form
    23,272/34,914.72 = 6,856/x
  3. Step 3: Cross multiply
    23,272x = 34,914.72 × 6,856
  4. Step 4: Simplify right side
    23,272x = 239,375,320.32
  5. Step 5: Solve for x
    x = 239,375,320.32/23,272
  6. Step 6: Final answer
    x = 10,285.98

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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.