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Finding the Fourth Proportional to 21,864, 32,796 and 5,448

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Solution

The fourth proportional to 21,864, 32,796 and 5,448 is: 8,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864 : 32,796 = 5,448 : x
  2. Step 2: Convert to fraction form
    21,864/32,796 = 5,448/x
  3. Step 3: Cross multiply
    21,864x = 32,796 × 5,448
  4. Step 4: Simplify right side
    21,864x = 178,672,608
  5. Step 5: Solve for x
    x = 178,672,608/21,864
  6. Step 6: Final answer
    x = 8,172

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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.