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Finding the Fourth Proportional to 20,277.75, 30,421.50 and 6,426.75

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Solution

The fourth proportional to 20,277.75, 30,421.50 and 6,426.75 is: 9,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.75 : 30,421.50 = 6,426.75 : x
  2. Step 2: Convert to fraction form
    20,277.75/30,421.50 = 6,426.75/x
  3. Step 3: Cross multiply
    20,277.75x = 30,421.50 × 6,426.75
  4. Step 4: Simplify right side
    20,277.75x = 195,511,375.13
  5. Step 5: Solve for x
    x = 195,511,375.13/20,277.75
  6. Step 6: Final answer
    x = 9,641.67

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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.