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Finding the Fourth Proportional to 19,993.94, 29,992 and 5,202.90

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Solution

The fourth proportional to 19,993.94, 29,992 and 5,202.90 is: 7,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.94 : 29,992 = 5,202.90 : x
  2. Step 2: Convert to fraction form
    19,993.94/29,992 = 5,202.90/x
  3. Step 3: Cross multiply
    19,993.94x = 29,992 × 5,202.90
  4. Step 4: Simplify right side
    19,993.94x = 156,045,376.80
  5. Step 5: Solve for x
    x = 156,045,376.80/19,993.94
  6. Step 6: Final answer
    x = 7,804.63

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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.