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Finding the Fourth Proportional to 18,586.26, 27,880.20 and 7,341.57

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Solution

The fourth proportional to 18,586.26, 27,880.20 and 7,341.57 is: 11,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.26 : 27,880.20 = 7,341.57 : x
  2. Step 2: Convert to fraction form
    18,586.26/27,880.20 = 7,341.57/x
  3. Step 3: Cross multiply
    18,586.26x = 27,880.20 × 7,341.57
  4. Step 4: Simplify right side
    18,586.26x = 204,684,439.91
  5. Step 5: Solve for x
    x = 204,684,439.91/18,586.26
  6. Step 6: Final answer
    x = 11,012.67

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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.