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Finding the Fourth Proportional to 18,142.31, 27,220.46 and 7,056.81

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Solution

The fourth proportional to 18,142.31, 27,220.46 and 7,056.81 is: 10,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.31 : 27,220.46 = 7,056.81 : x
  2. Step 2: Convert to fraction form
    18,142.31/27,220.46 = 7,056.81/x
  3. Step 3: Cross multiply
    18,142.31x = 27,220.46 × 7,056.81
  4. Step 4: Simplify right side
    18,142.31x = 192,089,579.05
  5. Step 5: Solve for x
    x = 192,089,579.05/18,142.31
  6. Step 6: Final answer
    x = 10,587.94

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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.