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Finding the Fourth Proportional to 20,505.40, 30,754.61 and 5,715.79

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Solution

The fourth proportional to 20,505.40, 30,754.61 and 5,715.79 is: 8,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.40 : 30,754.61 = 5,715.79 : x
  2. Step 2: Convert to fraction form
    20,505.40/30,754.61 = 5,715.79/x
  3. Step 3: Cross multiply
    20,505.40x = 30,754.61 × 5,715.79
  4. Step 4: Simplify right side
    20,505.40x = 175,786,709.94
  5. Step 5: Solve for x
    x = 175,786,709.94/20,505.40
  6. Step 6: Final answer
    x = 8,572.71

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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.