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Finding the Fourth Proportional to 20,455.20, 30,683.34 and 7,974.72

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Solution

The fourth proportional to 20,455.20, 30,683.34 and 7,974.72 is: 11,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455.20 : 30,683.34 = 7,974.72 : x
  2. Step 2: Convert to fraction form
    20,455.20/30,683.34 = 7,974.72/x
  3. Step 3: Cross multiply
    20,455.20x = 30,683.34 × 7,974.72
  4. Step 4: Simplify right side
    20,455.20x = 244,691,045.16
  5. Step 5: Solve for x
    x = 244,691,045.16/20,455.20
  6. Step 6: Final answer
    x = 11,962.29

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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.