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Finding the Fourth Proportional to 20,306.28, 30,455.24 and 7,822.02

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Solution

The fourth proportional to 20,306.28, 30,455.24 and 7,822.02 is: 11,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.28 : 30,455.24 = 7,822.02 : x
  2. Step 2: Convert to fraction form
    20,306.28/30,455.24 = 7,822.02/x
  3. Step 3: Cross multiply
    20,306.28x = 30,455.24 × 7,822.02
  4. Step 4: Simplify right side
    20,306.28x = 238,221,496.38
  5. Step 5: Solve for x
    x = 238,221,496.38/20,306.28
  6. Step 6: Final answer
    x = 11,731.42

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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.