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Finding the Fourth Proportional to 16,809.50, 25,198.58 and 5,708.59

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Solution

The fourth proportional to 16,809.50, 25,198.58 and 5,708.59 is: 8,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.50 : 25,198.58 = 5,708.59 : x
  2. Step 2: Convert to fraction form
    16,809.50/25,198.58 = 5,708.59/x
  3. Step 3: Cross multiply
    16,809.50x = 25,198.58 × 5,708.59
  4. Step 4: Simplify right side
    16,809.50x = 143,848,361.80
  5. Step 5: Solve for x
    x = 143,848,361.80/16,809.50
  6. Step 6: Final answer
    x = 8,557.56

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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.