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Finding the Fourth Proportional to 12,914.46, 17,834.46 and 11,129.34

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Solution

The fourth proportional to 12,914.46, 17,834.46 and 11,129.34 is: 15,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.46 : 17,834.46 = 11,129.34 : x
  2. Step 2: Convert to fraction form
    12,914.46/17,834.46 = 11,129.34/x
  3. Step 3: Cross multiply
    12,914.46x = 17,834.46 × 11,129.34
  4. Step 4: Simplify right side
    12,914.46x = 198,485,769.06
  5. Step 5: Solve for x
    x = 198,485,769.06/12,914.46
  6. Step 6: Final answer
    x = 15,369.27

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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.