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Finding the Fourth Proportional to 16,396.50, 22,627.17 and 8,944.50

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Solution

The fourth proportional to 16,396.50, 22,627.17 and 8,944.50 is: 12,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396.50 : 22,627.17 = 8,944.50 : x
  2. Step 2: Convert to fraction form
    16,396.50/22,627.17 = 8,944.50/x
  3. Step 3: Cross multiply
    16,396.50x = 22,627.17 × 8,944.50
  4. Step 4: Simplify right side
    16,396.50x = 202,388,722.07
  5. Step 5: Solve for x
    x = 202,388,722.07/16,396.50
  6. Step 6: Final answer
    x = 12,343.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.