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Finding the Fourth Proportional to 14,914.86, 20,583 and 8,200.73

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Solution

The fourth proportional to 14,914.86, 20,583 and 8,200.73 is: 11,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.86 : 20,583 = 8,200.73 : x
  2. Step 2: Convert to fraction form
    14,914.86/20,583 = 8,200.73/x
  3. Step 3: Cross multiply
    14,914.86x = 20,583 × 8,200.73
  4. Step 4: Simplify right side
    14,914.86x = 168,795,522.68
  5. Step 5: Solve for x
    x = 168,795,522.68/14,914.86
  6. Step 6: Final answer
    x = 11,317.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.