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Finding the Fourth Proportional to 20,501.67, 30,762.22 and 12,198.09

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Solution

The fourth proportional to 20,501.67, 30,762.22 and 12,198.09 is: 18,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.67 : 30,762.22 = 12,198.09 : x
  2. Step 2: Convert to fraction form
    20,501.67/30,762.22 = 12,198.09/x
  3. Step 3: Cross multiply
    20,501.67x = 30,762.22 × 12,198.09
  4. Step 4: Simplify right side
    20,501.67x = 375,240,205.18
  5. Step 5: Solve for x
    x = 375,240,205.18/20,501.67
  6. Step 6: Final answer
    x = 18,302.91

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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.