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Finding the Fourth Proportional to 20,299.86, 30,443.31 and 6,445.62

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Solution

The fourth proportional to 20,299.86, 30,443.31 and 6,445.62 is: 9,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.86 : 30,443.31 = 6,445.62 : x
  2. Step 2: Convert to fraction form
    20,299.86/30,443.31 = 6,445.62/x
  3. Step 3: Cross multiply
    20,299.86x = 30,443.31 × 6,445.62
  4. Step 4: Simplify right side
    20,299.86x = 196,226,007.80
  5. Step 5: Solve for x
    x = 196,226,007.80/20,299.86
  6. Step 6: Final answer
    x = 9,666.37

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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.