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Finding the Fourth Proportional to 22,057.67, 33,078.22 and 8,014.23

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Solution

The fourth proportional to 22,057.67, 33,078.22 and 8,014.23 is: 12,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.67 : 33,078.22 = 8,014.23 : x
  2. Step 2: Convert to fraction form
    22,057.67/33,078.22 = 8,014.23/x
  3. Step 3: Cross multiply
    22,057.67x = 33,078.22 × 8,014.23
  4. Step 4: Simplify right side
    22,057.67x = 265,096,463.07
  5. Step 5: Solve for x
    x = 265,096,463.07/22,057.67
  6. Step 6: Final answer
    x = 12,018.33

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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.