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Finding the Fourth Proportional to 13,694.28, 20,509.94 and 8,696.28

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Solution

The fourth proportional to 13,694.28, 20,509.94 and 8,696.28 is: 13,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.28 : 20,509.94 = 8,696.28 : x
  2. Step 2: Convert to fraction form
    13,694.28/20,509.94 = 8,696.28/x
  3. Step 3: Cross multiply
    13,694.28x = 20,509.94 × 8,696.28
  4. Step 4: Simplify right side
    13,694.28x = 178,360,181.02
  5. Step 5: Solve for x
    x = 178,360,181.02/13,694.28
  6. Step 6: Final answer
    x = 13,024.43

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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.