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Finding the Fourth Proportional to 20,428.90, 30,635.42 and 7,947.26

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Solution

The fourth proportional to 20,428.90, 30,635.42 and 7,947.26 is: 11,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.90 : 30,635.42 = 7,947.26 : x
  2. Step 2: Convert to fraction form
    20,428.90/30,635.42 = 7,947.26/x
  3. Step 3: Cross multiply
    20,428.90x = 30,635.42 × 7,947.26
  4. Step 4: Simplify right side
    20,428.90x = 243,467,647.95
  5. Step 5: Solve for x
    x = 243,467,647.95/20,428.90
  6. Step 6: Final answer
    x = 11,917.81

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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.