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Finding the Fourth Proportional to 20,296.80, 30,445.68 and 6,445.68

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Solution

The fourth proportional to 20,296.80, 30,445.68 and 6,445.68 is: 9,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.80 : 30,445.68 = 6,445.68 : x
  2. Step 2: Convert to fraction form
    20,296.80/30,445.68 = 6,445.68/x
  3. Step 3: Cross multiply
    20,296.80x = 30,445.68 × 6,445.68
  4. Step 4: Simplify right side
    20,296.80x = 196,243,110.66
  5. Step 5: Solve for x
    x = 196,243,110.66/20,296.80
  6. Step 6: Final answer
    x = 9,668.67

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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.