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Finding the Fourth Proportional to 20,443.88, 30,665.82 and 6,404.02

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Solution

The fourth proportional to 20,443.88, 30,665.82 and 6,404.02 is: 9,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.88 : 30,665.82 = 6,404.02 : x
  2. Step 2: Convert to fraction form
    20,443.88/30,665.82 = 6,404.02/x
  3. Step 3: Cross multiply
    20,443.88x = 30,665.82 × 6,404.02
  4. Step 4: Simplify right side
    20,443.88x = 196,384,504.16
  5. Step 5: Solve for x
    x = 196,384,504.16/20,443.88
  6. Step 6: Final answer
    x = 9,606.03

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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.