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Finding the Fourth Proportional to 16,400, 24,600 and 5,456

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Solution

The fourth proportional to 16,400, 24,600 and 5,456 is: 8,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400 : 24,600 = 5,456 : x
  2. Step 2: Convert to fraction form
    16,400/24,600 = 5,456/x
  3. Step 3: Cross multiply
    16,400x = 24,600 × 5,456
  4. Step 4: Simplify right side
    16,400x = 134,217,600
  5. Step 5: Solve for x
    x = 134,217,600/16,400
  6. Step 6: Final answer
    x = 8,184

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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.