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Finding the Fourth Proportional to 20,827.62, 31,219.56 and 7,671.60

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Solution

The fourth proportional to 20,827.62, 31,219.56 and 7,671.60 is: 11,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.62 : 31,219.56 = 7,671.60 : x
  2. Step 2: Convert to fraction form
    20,827.62/31,219.56 = 7,671.60/x
  3. Step 3: Cross multiply
    20,827.62x = 31,219.56 × 7,671.60
  4. Step 4: Simplify right side
    20,827.62x = 239,503,976.50
  5. Step 5: Solve for x
    x = 239,503,976.50/20,827.62
  6. Step 6: Final answer
    x = 11,499.34

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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.