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Finding the Fourth Proportional to 22,546.40, 33,825.40 and 13,194.32

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Solution

The fourth proportional to 22,546.40, 33,825.40 and 13,194.32 is: 19,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.40 : 33,825.40 = 13,194.32 : x
  2. Step 2: Convert to fraction form
    22,546.40/33,825.40 = 13,194.32/x
  3. Step 3: Cross multiply
    22,546.40x = 33,825.40 × 13,194.32
  4. Step 4: Simplify right side
    22,546.40x = 446,303,151.73
  5. Step 5: Solve for x
    x = 446,303,151.73/22,546.40
  6. Step 6: Final answer
    x = 19,794.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.