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Finding the Fourth Proportional to 16,983.20, 25,453.20 and 8,199.20

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Solution

The fourth proportional to 16,983.20, 25,453.20 and 8,199.20 is: 12,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.20 : 25,453.20 = 8,199.20 : x
  2. Step 2: Convert to fraction form
    16,983.20/25,453.20 = 8,199.20/x
  3. Step 3: Cross multiply
    16,983.20x = 25,453.20 × 8,199.20
  4. Step 4: Simplify right side
    16,983.20x = 208,695,877.44
  5. Step 5: Solve for x
    x = 208,695,877.44/16,983.20
  6. Step 6: Final answer
    x = 12,288.37

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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.