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Finding the Fourth Proportional to 20,947.33, 31,435.98 and 7,620.30

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Solution

The fourth proportional to 20,947.33, 31,435.98 and 7,620.30 is: 11,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,947.33 : 31,435.98 = 7,620.30 : x
  2. Step 2: Convert to fraction form
    20,947.33/31,435.98 = 7,620.30/x
  3. Step 3: Cross multiply
    20,947.33x = 31,435.98 × 7,620.30
  4. Step 4: Simplify right side
    20,947.33x = 239,551,626.97
  5. Step 5: Solve for x
    x = 239,551,626.97/20,947.33
  6. Step 6: Final answer
    x = 11,435.90

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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.