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Finding the Fourth Proportional to 26,809, 36,996.34 and 16,196.64

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Solution

The fourth proportional to 26,809, 36,996.34 and 16,196.64 is: 22,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809 : 36,996.34 = 16,196.64 : x
  2. Step 2: Convert to fraction form
    26,809/36,996.34 = 16,196.64/x
  3. Step 3: Cross multiply
    26,809x = 36,996.34 × 16,196.64
  4. Step 4: Simplify right side
    26,809x = 599,216,400.30
  5. Step 5: Solve for x
    x = 599,216,400.30/26,809
  6. Step 6: Final answer
    x = 22,351.31

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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.