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Finding the Fourth Proportional to 16,884.28, 25,326.78 and 5,197.50

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Solution

The fourth proportional to 16,884.28, 25,326.78 and 5,197.50 is: 7,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.28 : 25,326.78 = 5,197.50 : x
  2. Step 2: Convert to fraction form
    16,884.28/25,326.78 = 5,197.50/x
  3. Step 3: Cross multiply
    16,884.28x = 25,326.78 × 5,197.50
  4. Step 4: Simplify right side
    16,884.28x = 131,635,919.56
  5. Step 5: Solve for x
    x = 131,635,919.56/16,884.28
  6. Step 6: Final answer
    x = 7,796.36

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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.