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Finding the Fourth Proportional to 20,105.42, 27,744.80 and 11,031.19

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Solution

The fourth proportional to 20,105.42, 27,744.80 and 11,031.19 is: 15,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.42 : 27,744.80 = 11,031.19 : x
  2. Step 2: Convert to fraction form
    20,105.42/27,744.80 = 11,031.19/x
  3. Step 3: Cross multiply
    20,105.42x = 27,744.80 × 11,031.19
  4. Step 4: Simplify right side
    20,105.42x = 306,058,035.79
  5. Step 5: Solve for x
    x = 306,058,035.79/20,105.42
  6. Step 6: Final answer
    x = 15,222.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.