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Finding the Fourth Proportional to 20,634.52, 30,947.82 and 5,839.86

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Solution

The fourth proportional to 20,634.52, 30,947.82 and 5,839.86 is: 8,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.52 : 30,947.82 = 5,839.86 : x
  2. Step 2: Convert to fraction form
    20,634.52/30,947.82 = 5,839.86/x
  3. Step 3: Cross multiply
    20,634.52x = 30,947.82 × 5,839.86
  4. Step 4: Simplify right side
    20,634.52x = 180,730,936.11
  5. Step 5: Solve for x
    x = 180,730,936.11/20,634.52
  6. Step 6: Final answer
    x = 8,758.67

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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.