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Finding the Fourth Proportional to 18,483, 27,724.74 and 6,171

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Solution

The fourth proportional to 18,483, 27,724.74 and 6,171 is: 9,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483 : 27,724.74 = 6,171 : x
  2. Step 2: Convert to fraction form
    18,483/27,724.74 = 6,171/x
  3. Step 3: Cross multiply
    18,483x = 27,724.74 × 6,171
  4. Step 4: Simplify right side
    18,483x = 171,089,370.54
  5. Step 5: Solve for x
    x = 171,089,370.54/18,483
  6. Step 6: Final answer
    x = 9,256.58

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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.