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Finding the Fourth Proportional to 25,318.44, 37,974.78 and 6,849

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Solution

The fourth proportional to 25,318.44, 37,974.78 and 6,849 is: 10,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,318.44 : 37,974.78 = 6,849 : x
  2. Step 2: Convert to fraction form
    25,318.44/37,974.78 = 6,849/x
  3. Step 3: Cross multiply
    25,318.44x = 37,974.78 × 6,849
  4. Step 4: Simplify right side
    25,318.44x = 260,089,268.22
  5. Step 5: Solve for x
    x = 260,089,268.22/25,318.44
  6. Step 6: Final answer
    x = 10,272.72

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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.