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Finding the Fourth Proportional to 20,647.86, 30,963.74 and 7,315.73

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Solution

The fourth proportional to 20,647.86, 30,963.74 and 7,315.73 is: 10,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.86 : 30,963.74 = 7,315.73 : x
  2. Step 2: Convert to fraction form
    20,647.86/30,963.74 = 7,315.73/x
  3. Step 3: Cross multiply
    20,647.86x = 30,963.74 × 7,315.73
  4. Step 4: Simplify right side
    20,647.86x = 226,522,286.35
  5. Step 5: Solve for x
    x = 226,522,286.35/20,647.86
  6. Step 6: Final answer
    x = 10,970.74

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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.