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Finding the Fourth Proportional to 20,438.88, 30,716.64 and 10,057.92

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Solution

The fourth proportional to 20,438.88, 30,716.64 and 10,057.92 is: 15,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.88 : 30,716.64 = 10,057.92 : x
  2. Step 2: Convert to fraction form
    20,438.88/30,716.64 = 10,057.92/x
  3. Step 3: Cross multiply
    20,438.88x = 30,716.64 × 10,057.92
  4. Step 4: Simplify right side
    20,438.88x = 308,945,507.79
  5. Step 5: Solve for x
    x = 308,945,507.79/20,438.88
  6. Step 6: Final answer
    x = 15,115.58

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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.