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Finding the Fourth Proportional to 13,428.32, 18,523.50 and 8,121.20

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Solution

The fourth proportional to 13,428.32, 18,523.50 and 8,121.20 is: 11,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.32 : 18,523.50 = 8,121.20 : x
  2. Step 2: Convert to fraction form
    13,428.32/18,523.50 = 8,121.20/x
  3. Step 3: Cross multiply
    13,428.32x = 18,523.50 × 8,121.20
  4. Step 4: Simplify right side
    13,428.32x = 150,433,048.20
  5. Step 5: Solve for x
    x = 150,433,048.20/13,428.32
  6. Step 6: Final answer
    x = 11,202.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.