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Finding the Fourth Proportional to 22,057.74, 33,093.21 and 8,017.50

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Solution

The fourth proportional to 22,057.74, 33,093.21 and 8,017.50 is: 12,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.74 : 33,093.21 = 8,017.50 : x
  2. Step 2: Convert to fraction form
    22,057.74/33,093.21 = 8,017.50/x
  3. Step 3: Cross multiply
    22,057.74x = 33,093.21 × 8,017.50
  4. Step 4: Simplify right side
    22,057.74x = 265,324,811.18
  5. Step 5: Solve for x
    x = 265,324,811.18/22,057.74
  6. Step 6: Final answer
    x = 12,028.65

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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.