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Finding the Fourth Proportional to 20,229.84, 30,358.50 and 7,082.16

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Solution

The fourth proportional to 20,229.84, 30,358.50 and 7,082.16 is: 10,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.84 : 30,358.50 = 7,082.16 : x
  2. Step 2: Convert to fraction form
    20,229.84/30,358.50 = 7,082.16/x
  3. Step 3: Cross multiply
    20,229.84x = 30,358.50 × 7,082.16
  4. Step 4: Simplify right side
    20,229.84x = 215,003,754.36
  5. Step 5: Solve for x
    x = 215,003,754.36/20,229.84
  6. Step 6: Final answer
    x = 10,628.05

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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.