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Finding the Fourth Proportional to 20,096.97, 30,141.35 and 7,612.69

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Solution

The fourth proportional to 20,096.97, 30,141.35 and 7,612.69 is: 11,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.97 : 30,141.35 = 7,612.69 : x
  2. Step 2: Convert to fraction form
    20,096.97/30,141.35 = 7,612.69/x
  3. Step 3: Cross multiply
    20,096.97x = 30,141.35 × 7,612.69
  4. Step 4: Simplify right side
    20,096.97x = 229,456,753.73
  5. Step 5: Solve for x
    x = 229,456,753.73/20,096.97
  6. Step 6: Final answer
    x = 11,417.48

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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.