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Finding the Fourth Proportional to 16,824.08, 25,251.75 and 8,509.97

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Solution

The fourth proportional to 16,824.08, 25,251.75 and 8,509.97 is: 12,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.08 : 25,251.75 = 8,509.97 : x
  2. Step 2: Convert to fraction form
    16,824.08/25,251.75 = 8,509.97/x
  3. Step 3: Cross multiply
    16,824.08x = 25,251.75 × 8,509.97
  4. Step 4: Simplify right side
    16,824.08x = 214,891,698.08
  5. Step 5: Solve for x
    x = 214,891,698.08/16,824.08
  6. Step 6: Final answer
    x = 12,772.86

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1.5x scale

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.