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Finding the Fourth Proportional to 16,624, 24,936 and 8,416

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Solution

The fourth proportional to 16,624, 24,936 and 8,416 is: 12,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624 : 24,936 = 8,416 : x
  2. Step 2: Convert to fraction form
    16,624/24,936 = 8,416/x
  3. Step 3: Cross multiply
    16,624x = 24,936 × 8,416
  4. Step 4: Simplify right side
    16,624x = 209,861,376
  5. Step 5: Solve for x
    x = 209,861,376/16,624
  6. Step 6: Final answer
    x = 12,624

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.