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Finding the Fourth Proportional to 13,850.14, 20,774.94 and 8,305.03

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Solution

The fourth proportional to 13,850.14, 20,774.94 and 8,305.03 is: 12,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.14 : 20,774.94 = 8,305.03 : x
  2. Step 2: Convert to fraction form
    13,850.14/20,774.94 = 8,305.03/x
  3. Step 3: Cross multiply
    13,850.14x = 20,774.94 × 8,305.03
  4. Step 4: Simplify right side
    13,850.14x = 172,536,499.95
  5. Step 5: Solve for x
    x = 172,536,499.95/13,850.14
  6. Step 6: Final answer
    x = 12,457.38

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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.