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Finding the Fourth Proportional to 20,561.46, 30,786.74 and 13,428.03

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Solution

The fourth proportional to 20,561.46, 30,786.74 and 13,428.03 is: 20,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.46 : 30,786.74 = 13,428.03 : x
  2. Step 2: Convert to fraction form
    20,561.46/30,786.74 = 13,428.03/x
  3. Step 3: Cross multiply
    20,561.46x = 30,786.74 × 13,428.03
  4. Step 4: Simplify right side
    20,561.46x = 413,405,301.89
  5. Step 5: Solve for x
    x = 413,405,301.89/20,561.46
  6. Step 6: Final answer
    x = 20,105.83

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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.