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Finding the Fourth Proportional to 20,992.53, 31,478.94 and 7,841.37

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Solution

The fourth proportional to 20,992.53, 31,478.94 and 7,841.37 is: 11,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.53 : 31,478.94 = 7,841.37 : x
  2. Step 2: Convert to fraction form
    20,992.53/31,478.94 = 7,841.37/x
  3. Step 3: Cross multiply
    20,992.53x = 31,478.94 × 7,841.37
  4. Step 4: Simplify right side
    20,992.53x = 246,838,015.75
  5. Step 5: Solve for x
    x = 246,838,015.75/20,992.53
  6. Step 6: Final answer
    x = 11,758.37

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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.