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Finding the Fourth Proportional to 16,152, 24,228 and 5,208

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Solution

The fourth proportional to 16,152, 24,228 and 5,208 is: 7,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152 : 24,228 = 5,208 : x
  2. Step 2: Convert to fraction form
    16,152/24,228 = 5,208/x
  3. Step 3: Cross multiply
    16,152x = 24,228 × 5,208
  4. Step 4: Simplify right side
    16,152x = 126,179,424
  5. Step 5: Solve for x
    x = 126,179,424/16,152
  6. Step 6: Final answer
    x = 7,812

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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.