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Finding the Fourth Proportional to 20,955.27, 31,431.96 and 6,164.67

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Solution

The fourth proportional to 20,955.27, 31,431.96 and 6,164.67 is: 9,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.27 : 31,431.96 = 6,164.67 : x
  2. Step 2: Convert to fraction form
    20,955.27/31,431.96 = 6,164.67/x
  3. Step 3: Cross multiply
    20,955.27x = 31,431.96 × 6,164.67
  4. Step 4: Simplify right side
    20,955.27x = 193,767,660.85
  5. Step 5: Solve for x
    x = 193,767,660.85/20,955.27
  6. Step 6: Final answer
    x = 9,246.73

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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.