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Finding the Fourth Proportional to 16,222.50, 24,333.84 and 5,278.50

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Solution

The fourth proportional to 16,222.50, 24,333.84 and 5,278.50 is: 7,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.50 : 24,333.84 = 5,278.50 : x
  2. Step 2: Convert to fraction form
    16,222.50/24,333.84 = 5,278.50/x
  3. Step 3: Cross multiply
    16,222.50x = 24,333.84 × 5,278.50
  4. Step 4: Simplify right side
    16,222.50x = 128,446,174.44
  5. Step 5: Solve for x
    x = 128,446,174.44/16,222.50
  6. Step 6: Final answer
    x = 7,917.78

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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.