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Finding the Fourth Proportional to 16,864, 25,296 and 4,552

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Solution

The fourth proportional to 16,864, 25,296 and 4,552 is: 6,828

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864 : 25,296 = 4,552 : x
  2. Step 2: Convert to fraction form
    16,864/25,296 = 4,552/x
  3. Step 3: Cross multiply
    16,864x = 25,296 × 4,552
  4. Step 4: Simplify right side
    16,864x = 115,147,392
  5. Step 5: Solve for x
    x = 115,147,392/16,864
  6. Step 6: Final answer
    x = 6,828

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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.