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Finding the Fourth Proportional to 12,096.84, 18,148.62 and 6,906.36

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Solution

The fourth proportional to 12,096.84, 18,148.62 and 6,906.36 is: 10,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.84 : 18,148.62 = 6,906.36 : x
  2. Step 2: Convert to fraction form
    12,096.84/18,148.62 = 6,906.36/x
  3. Step 3: Cross multiply
    12,096.84x = 18,148.62 × 6,906.36
  4. Step 4: Simplify right side
    12,096.84x = 125,340,903.22
  5. Step 5: Solve for x
    x = 125,340,903.22/12,096.84
  6. Step 6: Final answer
    x = 10,361.46

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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.