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Finding the Fourth Proportional to 20,772.75, 31,159.18 and 8,293.79

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Solution

The fourth proportional to 20,772.75, 31,159.18 and 8,293.79 is: 12,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.75 : 31,159.18 = 8,293.79 : x
  2. Step 2: Convert to fraction form
    20,772.75/31,159.18 = 8,293.79/x
  3. Step 3: Cross multiply
    20,772.75x = 31,159.18 × 8,293.79
  4. Step 4: Simplify right side
    20,772.75x = 258,427,783.76
  5. Step 5: Solve for x
    x = 258,427,783.76/20,772.75
  6. Step 6: Final answer
    x = 12,440.71

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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.