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Finding the Fourth Proportional to 20,957.58, 31,433.94 and 7,808.49

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Solution

The fourth proportional to 20,957.58, 31,433.94 and 7,808.49 is: 11,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.58 : 31,433.94 = 7,808.49 : x
  2. Step 2: Convert to fraction form
    20,957.58/31,433.94 = 7,808.49/x
  3. Step 3: Cross multiply
    20,957.58x = 31,433.94 × 7,808.49
  4. Step 4: Simplify right side
    20,957.58x = 245,451,606.15
  5. Step 5: Solve for x
    x = 245,451,606.15/20,957.58
  6. Step 6: Final answer
    x = 11,711.83

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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.