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Finding the Fourth Proportional to 12,165.44, 18,243.34 and 4,158.22

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Solution

The fourth proportional to 12,165.44, 18,243.34 and 4,158.22 is: 6,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.44 : 18,243.34 = 4,158.22 : x
  2. Step 2: Convert to fraction form
    12,165.44/18,243.34 = 4,158.22/x
  3. Step 3: Cross multiply
    12,165.44x = 18,243.34 × 4,158.22
  4. Step 4: Simplify right side
    12,165.44x = 75,859,709.25
  5. Step 5: Solve for x
    x = 75,859,709.25/12,165.44
  6. Step 6: Final answer
    x = 6,235.67

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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.