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Finding the Fourth Proportional to 15,202.96, 22,806.84 and 5,343.22

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Solution

The fourth proportional to 15,202.96, 22,806.84 and 5,343.22 is: 8,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.96 : 22,806.84 = 5,343.22 : x
  2. Step 2: Convert to fraction form
    15,202.96/22,806.84 = 5,343.22/x
  3. Step 3: Cross multiply
    15,202.96x = 22,806.84 × 5,343.22
  4. Step 4: Simplify right side
    15,202.96x = 121,861,963.62
  5. Step 5: Solve for x
    x = 121,861,963.62/15,202.96
  6. Step 6: Final answer
    x = 8,015.67

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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.