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Finding the Fourth Proportional to 16,424, 24,636 and 4,112

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Solution

The fourth proportional to 16,424, 24,636 and 4,112 is: 6,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424 : 24,636 = 4,112 : x
  2. Step 2: Convert to fraction form
    16,424/24,636 = 4,112/x
  3. Step 3: Cross multiply
    16,424x = 24,636 × 4,112
  4. Step 4: Simplify right side
    16,424x = 101,303,232
  5. Step 5: Solve for x
    x = 101,303,232/16,424
  6. Step 6: Final answer
    x = 6,168

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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.