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Finding the Fourth Proportional to 20,505.24, 30,767.02 and 9,969.48

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Solution

The fourth proportional to 20,505.24, 30,767.02 and 9,969.48 is: 14,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.24 : 30,767.02 = 9,969.48 : x
  2. Step 2: Convert to fraction form
    20,505.24/30,767.02 = 9,969.48/x
  3. Step 3: Cross multiply
    20,505.24x = 30,767.02 × 9,969.48
  4. Step 4: Simplify right side
    20,505.24x = 306,731,190.55
  5. Step 5: Solve for x
    x = 306,731,190.55/20,505.24
  6. Step 6: Final answer
    x = 14,958.67

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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.