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Finding the Fourth Proportional to 20,815.92, 31,223.88 and 6,966

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Solution

The fourth proportional to 20,815.92, 31,223.88 and 6,966 is: 10,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815.92 : 31,223.88 = 6,966 : x
  2. Step 2: Convert to fraction form
    20,815.92/31,223.88 = 6,966/x
  3. Step 3: Cross multiply
    20,815.92x = 31,223.88 × 6,966
  4. Step 4: Simplify right side
    20,815.92x = 217,505,548.08
  5. Step 5: Solve for x
    x = 217,505,548.08/20,815.92
  6. Step 6: Final answer
    x = 10,449.00

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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.