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Finding the Fourth Proportional to 20,286.80, 30,430.26 and 6,246.74

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Solution

The fourth proportional to 20,286.80, 30,430.26 and 6,246.74 is: 9,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.80 : 30,430.26 = 6,246.74 : x
  2. Step 2: Convert to fraction form
    20,286.80/30,430.26 = 6,246.74/x
  3. Step 3: Cross multiply
    20,286.80x = 30,430.26 × 6,246.74
  4. Step 4: Simplify right side
    20,286.80x = 190,089,770.20
  5. Step 5: Solve for x
    x = 190,089,770.20/20,286.80
  6. Step 6: Final answer
    x = 9,370.12

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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.