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Finding the Fourth Proportional to 26,367, 36,380.66 and 16,160.19

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Solution

The fourth proportional to 26,367, 36,380.66 and 16,160.19 is: 22,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,367 : 36,380.66 = 16,160.19 : x
  2. Step 2: Convert to fraction form
    26,367/36,380.66 = 16,160.19/x
  3. Step 3: Cross multiply
    26,367x = 36,380.66 × 16,160.19
  4. Step 4: Simplify right side
    26,367x = 587,918,297.12
  5. Step 5: Solve for x
    x = 587,918,297.12/26,367
  6. Step 6: Final answer
    x = 22,297.50

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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.