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Finding the Fourth Proportional to 20,283.21, 30,427.85 and 7,133.27

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Solution

The fourth proportional to 20,283.21, 30,427.85 and 7,133.27 is: 10,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.21 : 30,427.85 = 7,133.27 : x
  2. Step 2: Convert to fraction form
    20,283.21/30,427.85 = 7,133.27/x
  3. Step 3: Cross multiply
    20,283.21x = 30,427.85 × 7,133.27
  4. Step 4: Simplify right side
    20,283.21x = 217,049,935.26
  5. Step 5: Solve for x
    x = 217,049,935.26/20,283.21
  6. Step 6: Final answer
    x = 10,700.97

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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.