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Finding the Fourth Proportional to 16,578, 24,867 and 5,634

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Solution

The fourth proportional to 16,578, 24,867 and 5,634 is: 8,451

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578 : 24,867 = 5,634 : x
  2. Step 2: Convert to fraction form
    16,578/24,867 = 5,634/x
  3. Step 3: Cross multiply
    16,578x = 24,867 × 5,634
  4. Step 4: Simplify right side
    16,578x = 140,100,678
  5. Step 5: Solve for x
    x = 140,100,678/16,578
  6. Step 6: Final answer
    x = 8,451

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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.