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Finding the Fourth Proportional to 14,067, 21,100.50 and 4,833

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Solution

The fourth proportional to 14,067, 21,100.50 and 4,833 is: 7,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067 : 21,100.50 = 4,833 : x
  2. Step 2: Convert to fraction form
    14,067/21,100.50 = 4,833/x
  3. Step 3: Cross multiply
    14,067x = 21,100.50 × 4,833
  4. Step 4: Simplify right side
    14,067x = 101,978,716.50
  5. Step 5: Solve for x
    x = 101,978,716.50/14,067
  6. Step 6: Final answer
    x = 7,249.50

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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.