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Finding the Fourth Proportional to 20,634.14, 30,947.27 and 5,839.49

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Solution

The fourth proportional to 20,634.14, 30,947.27 and 5,839.49 is: 8,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.14 : 30,947.27 = 5,839.49 : x
  2. Step 2: Convert to fraction form
    20,634.14/30,947.27 = 5,839.49/x
  3. Step 3: Cross multiply
    20,634.14x = 30,947.27 × 5,839.49
  4. Step 4: Simplify right side
    20,634.14x = 180,716,089.76
  5. Step 5: Solve for x
    x = 180,716,089.76/20,634.14
  6. Step 6: Final answer
    x = 8,758.11

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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.