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Finding the Fourth Proportional to 20,013.84, 30,021.30 and 5,222.43

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Solution

The fourth proportional to 20,013.84, 30,021.30 and 5,222.43 is: 7,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013.84 : 30,021.30 = 5,222.43 : x
  2. Step 2: Convert to fraction form
    20,013.84/30,021.30 = 5,222.43/x
  3. Step 3: Cross multiply
    20,013.84x = 30,021.30 × 5,222.43
  4. Step 4: Simplify right side
    20,013.84x = 156,784,137.76
  5. Step 5: Solve for x
    x = 156,784,137.76/20,013.84
  6. Step 6: Final answer
    x = 7,833.79

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