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Finding the Fourth Proportional to 20,401.50, 30,602.49 and 7,922.22

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Solution

The fourth proportional to 20,401.50, 30,602.49 and 7,922.22 is: 11,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401.50 : 30,602.49 = 7,922.22 : x
  2. Step 2: Convert to fraction form
    20,401.50/30,602.49 = 7,922.22/x
  3. Step 3: Cross multiply
    20,401.50x = 30,602.49 × 7,922.22
  4. Step 4: Simplify right side
    20,401.50x = 242,439,658.33
  5. Step 5: Solve for x
    x = 242,439,658.33/20,401.50
  6. Step 6: Final answer
    x = 11,883.42

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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.