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Finding the Fourth Proportional to 13,861.75, 19,129.19 and 7,893.42

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Solution

The fourth proportional to 13,861.75, 19,129.19 and 7,893.42 is: 10,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.75 : 19,129.19 = 7,893.42 : x
  2. Step 2: Convert to fraction form
    13,861.75/19,129.19 = 7,893.42/x
  3. Step 3: Cross multiply
    13,861.75x = 19,129.19 × 7,893.42
  4. Step 4: Simplify right side
    13,861.75x = 150,994,750.66
  5. Step 5: Solve for x
    x = 150,994,750.66/13,861.75
  6. Step 6: Final answer
    x = 10,892.91

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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.