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Finding the Fourth Proportional to 20,338.47, 30,516.67 and 7,013.49

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Solution

The fourth proportional to 20,338.47, 30,516.67 and 7,013.49 is: 10,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.47 : 30,516.67 = 7,013.49 : x
  2. Step 2: Convert to fraction form
    20,338.47/30,516.67 = 7,013.49/x
  3. Step 3: Cross multiply
    20,338.47x = 30,516.67 × 7,013.49
  4. Step 4: Simplify right side
    20,338.47x = 214,028,359.88
  5. Step 5: Solve for x
    x = 214,028,359.88/20,338.47
  6. Step 6: Final answer
    x = 10,523.33

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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.