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Finding the Fourth Proportional to 20,299.28, 30,461.06 and 7,162.70

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Solution

The fourth proportional to 20,299.28, 30,461.06 and 7,162.70 is: 10,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.28 : 30,461.06 = 7,162.70 : x
  2. Step 2: Convert to fraction form
    20,299.28/30,461.06 = 7,162.70/x
  3. Step 3: Cross multiply
    20,299.28x = 30,461.06 × 7,162.70
  4. Step 4: Simplify right side
    20,299.28x = 218,183,300.06
  5. Step 5: Solve for x
    x = 218,183,300.06/20,299.28
  6. Step 6: Final answer
    x = 10,748.33

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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.