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Finding the Fourth Proportional to 20,267.40, 30,401.20 and 9,161.09

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Solution

The fourth proportional to 20,267.40, 30,401.20 and 9,161.09 is: 13,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.40 : 30,401.20 = 9,161.09 : x
  2. Step 2: Convert to fraction form
    20,267.40/30,401.20 = 9,161.09/x
  3. Step 3: Cross multiply
    20,267.40x = 30,401.20 × 9,161.09
  4. Step 4: Simplify right side
    20,267.40x = 278,507,988.75
  5. Step 5: Solve for x
    x = 278,507,988.75/20,267.40
  6. Step 6: Final answer
    x = 13,741.67

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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.