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Finding the Fourth Proportional to 16,222, 24,333 and 5,278

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Solution

The fourth proportional to 16,222, 24,333 and 5,278 is: 7,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222 : 24,333 = 5,278 : x
  2. Step 2: Convert to fraction form
    16,222/24,333 = 5,278/x
  3. Step 3: Cross multiply
    16,222x = 24,333 × 5,278
  4. Step 4: Simplify right side
    16,222x = 128,429,574
  5. Step 5: Solve for x
    x = 128,429,574/16,222
  6. Step 6: Final answer
    x = 7,917

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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.