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Finding the Fourth Proportional to 20,447.07, 30,662.55 and 7,965.42

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Solution

The fourth proportional to 20,447.07, 30,662.55 and 7,965.42 is: 11,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.07 : 30,662.55 = 7,965.42 : x
  2. Step 2: Convert to fraction form
    20,447.07/30,662.55 = 7,965.42/x
  3. Step 3: Cross multiply
    20,447.07x = 30,662.55 × 7,965.42
  4. Step 4: Simplify right side
    20,447.07x = 244,240,089.02
  5. Step 5: Solve for x
    x = 244,240,089.02/20,447.07
  6. Step 6: Final answer
    x = 11,944.99

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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.