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Finding the Fourth Proportional to 19,845, 29,768.72 and 5,994

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Solution

The fourth proportional to 19,845, 29,768.72 and 5,994 is: 8,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 29,768.72 = 5,994 : x
  2. Step 2: Convert to fraction form
    19,845/29,768.72 = 5,994/x
  3. Step 3: Cross multiply
    19,845x = 29,768.72 × 5,994
  4. Step 4: Simplify right side
    19,845x = 178,433,677.71
  5. Step 5: Solve for x
    x = 178,433,677.71/19,845
  6. Step 6: Final answer
    x = 8,991.37

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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.