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Finding the Fourth Proportional to 16,198.54, 24,289.20 and 5,102.20

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Solution

The fourth proportional to 16,198.54, 24,289.20 and 5,102.20 is: 7,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.54 : 24,289.20 = 5,102.20 : x
  2. Step 2: Convert to fraction form
    16,198.54/24,289.20 = 5,102.20/x
  3. Step 3: Cross multiply
    16,198.54x = 24,289.20 × 5,102.20
  4. Step 4: Simplify right side
    16,198.54x = 123,928,356.24
  5. Step 5: Solve for x
    x = 123,928,356.24/16,198.54
  6. Step 6: Final answer
    x = 7,650.59

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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.