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Finding the Fourth Proportional to 20,134.67, 30,202.00 and 7,651.76

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Solution

The fourth proportional to 20,134.67, 30,202.00 and 7,651.76 is: 11,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.67 : 30,202.00 = 7,651.76 : x
  2. Step 2: Convert to fraction form
    20,134.67/30,202.00 = 7,651.76/x
  3. Step 3: Cross multiply
    20,134.67x = 30,202.00 × 7,651.76
  4. Step 4: Simplify right side
    20,134.67x = 231,098,285.38
  5. Step 5: Solve for x
    x = 231,098,285.38/20,134.67
  6. Step 6: Final answer
    x = 11,477.63

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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.