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Finding the Fourth Proportional to 12,250.67, 18,344.70 and 8,078.06

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Solution

The fourth proportional to 12,250.67, 18,344.70 and 8,078.06 is: 12,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250.67 : 18,344.70 = 8,078.06 : x
  2. Step 2: Convert to fraction form
    12,250.67/18,344.70 = 8,078.06/x
  3. Step 3: Cross multiply
    12,250.67x = 18,344.70 × 8,078.06
  4. Step 4: Simplify right side
    12,250.67x = 148,189,633.14
  5. Step 5: Solve for x
    x = 148,189,633.14/12,250.67
  6. Step 6: Final answer
    x = 12,096.46

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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.