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Finding the Fourth Proportional to 20,098, 27,735.24 and 11,716.12

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Solution

The fourth proportional to 20,098, 27,735.24 and 11,716.12 is: 16,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 27,735.24 = 11,716.12 : x
  2. Step 2: Convert to fraction form
    20,098/27,735.24 = 11,716.12/x
  3. Step 3: Cross multiply
    20,098x = 27,735.24 × 11,716.12
  4. Step 4: Simplify right side
    20,098x = 324,949,400.07
  5. Step 5: Solve for x
    x = 324,949,400.07/20,098
  6. Step 6: Final answer
    x = 16,168.25

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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.