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Finding the Fourth Proportional to 22,642.44, 33,965.22 and 9,481.56

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Solution

The fourth proportional to 22,642.44, 33,965.22 and 9,481.56 is: 14,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.44 : 33,965.22 = 9,481.56 : x
  2. Step 2: Convert to fraction form
    22,642.44/33,965.22 = 9,481.56/x
  3. Step 3: Cross multiply
    22,642.44x = 33,965.22 × 9,481.56
  4. Step 4: Simplify right side
    22,642.44x = 322,043,271.34
  5. Step 5: Solve for x
    x = 322,043,271.34/22,642.44
  6. Step 6: Final answer
    x = 14,222.99

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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.