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Finding the Fourth Proportional to 20,845.84, 31,268.94 and 6,994.84

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Solution

The fourth proportional to 20,845.84, 31,268.94 and 6,994.84 is: 10,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,845.84 : 31,268.94 = 6,994.84 : x
  2. Step 2: Convert to fraction form
    20,845.84/31,268.94 = 6,994.84/x
  3. Step 3: Cross multiply
    20,845.84x = 31,268.94 × 6,994.84
  4. Step 4: Simplify right side
    20,845.84x = 218,721,232.27
  5. Step 5: Solve for x
    x = 218,721,232.27/20,845.84
  6. Step 6: Final answer
    x = 10,492.32

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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.