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Finding the Fourth Proportional to 16,201.50, 24,284.97 and 8,399.58

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Solution

The fourth proportional to 16,201.50, 24,284.97 and 8,399.58 is: 12,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.50 : 24,284.97 = 8,399.58 : x
  2. Step 2: Convert to fraction form
    16,201.50/24,284.97 = 8,399.58/x
  3. Step 3: Cross multiply
    16,201.50x = 24,284.97 × 8,399.58
  4. Step 4: Simplify right side
    16,201.50x = 203,983,548.31
  5. Step 5: Solve for x
    x = 203,983,548.31/16,201.50
  6. Step 6: Final answer
    x = 12,590.41

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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.