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Finding the Fourth Proportional to 20,237.69, 30,338.04 and 7,082.89

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Solution

The fourth proportional to 20,237.69, 30,338.04 and 7,082.89 is: 10,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.69 : 30,338.04 = 7,082.89 : x
  2. Step 2: Convert to fraction form
    20,237.69/30,338.04 = 7,082.89/x
  3. Step 3: Cross multiply
    20,237.69x = 30,338.04 × 7,082.89
  4. Step 4: Simplify right side
    20,237.69x = 214,881,000.14
  5. Step 5: Solve for x
    x = 214,881,000.14/20,237.69
  6. Step 6: Final answer
    x = 10,617.86

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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.