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Finding the Fourth Proportional to 16,436, 24,654 and 4,124

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Solution

The fourth proportional to 16,436, 24,654 and 4,124 is: 6,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436 : 24,654 = 4,124 : x
  2. Step 2: Convert to fraction form
    16,436/24,654 = 4,124/x
  3. Step 3: Cross multiply
    16,436x = 24,654 × 4,124
  4. Step 4: Simplify right side
    16,436x = 101,673,096
  5. Step 5: Solve for x
    x = 101,673,096/16,436
  6. Step 6: Final answer
    x = 6,186

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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.