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Finding the Fourth Proportional to 20,144.88, 30,212.64 and 7,666.38

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Solution

The fourth proportional to 20,144.88, 30,212.64 and 7,666.38 is: 11,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.88 : 30,212.64 = 7,666.38 : x
  2. Step 2: Convert to fraction form
    20,144.88/30,212.64 = 7,666.38/x
  3. Step 3: Cross multiply
    20,144.88x = 30,212.64 × 7,666.38
  4. Step 4: Simplify right side
    20,144.88x = 231,621,579.04
  5. Step 5: Solve for x
    x = 231,621,579.04/20,144.88
  6. Step 6: Final answer
    x = 11,497.79

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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.