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Finding the Fourth Proportional to 13,694.40, 20,541.60 and 3,834

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Solution

The fourth proportional to 13,694.40, 20,541.60 and 3,834 is: 5,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.40 : 20,541.60 = 3,834 : x
  2. Step 2: Convert to fraction form
    13,694.40/20,541.60 = 3,834/x
  3. Step 3: Cross multiply
    13,694.40x = 20,541.60 × 3,834
  4. Step 4: Simplify right side
    13,694.40x = 78,756,494.40
  5. Step 5: Solve for x
    x = 78,756,494.40/13,694.40
  6. Step 6: Final answer
    x = 5,751.00

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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.