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Finding the Fourth Proportional to 22,784, 34,176 and 8,192

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Solution

The fourth proportional to 22,784, 34,176 and 8,192 is: 12,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 34,176 = 8,192 : x
  2. Step 2: Convert to fraction form
    22,784/34,176 = 8,192/x
  3. Step 3: Cross multiply
    22,784x = 34,176 × 8,192
  4. Step 4: Simplify right side
    22,784x = 279,969,792
  5. Step 5: Solve for x
    x = 279,969,792/22,784
  6. Step 6: Final answer
    x = 12,288

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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.