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Finding the Fourth Proportional to 26,685, 36,825.36 and 16,075.08

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Solution

The fourth proportional to 26,685, 36,825.36 and 16,075.08 is: 22,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,685 : 36,825.36 = 16,075.08 : x
  2. Step 2: Convert to fraction form
    26,685/36,825.36 = 16,075.08/x
  3. Step 3: Cross multiply
    26,685x = 36,825.36 × 16,075.08
  4. Step 4: Simplify right side
    26,685x = 591,970,608.03
  5. Step 5: Solve for x
    x = 591,970,608.03/26,685
  6. Step 6: Final answer
    x = 22,183.65

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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.