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Finding the Fourth Proportional to 20,954.62, 31,422.05 and 7,618.23

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Solution

The fourth proportional to 20,954.62, 31,422.05 and 7,618.23 is: 11,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.62 : 31,422.05 = 7,618.23 : x
  2. Step 2: Convert to fraction form
    20,954.62/31,422.05 = 7,618.23/x
  3. Step 3: Cross multiply
    20,954.62x = 31,422.05 × 7,618.23
  4. Step 4: Simplify right side
    20,954.62x = 239,380,403.97
  5. Step 5: Solve for x
    x = 239,380,403.97/20,954.62
  6. Step 6: Final answer
    x = 11,423.75

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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.