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Finding the Fourth Proportional to 20,716.68, 31,052.64 and 10,174.44

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Solution

The fourth proportional to 20,716.68, 31,052.64 and 10,174.44 is: 15,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.68 : 31,052.64 = 10,174.44 : x
  2. Step 2: Convert to fraction form
    20,716.68/31,052.64 = 10,174.44/x
  3. Step 3: Cross multiply
    20,716.68x = 31,052.64 × 10,174.44
  4. Step 4: Simplify right side
    20,716.68x = 315,943,222.52
  5. Step 5: Solve for x
    x = 315,943,222.52/20,716.68
  6. Step 6: Final answer
    x = 15,250.67

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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.