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Finding the Fourth Proportional to 13,696.01, 20,543.57 and 5,796.38

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Solution

The fourth proportional to 13,696.01, 20,543.57 and 5,796.38 is: 8,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.01 : 20,543.57 = 5,796.38 : x
  2. Step 2: Convert to fraction form
    13,696.01/20,543.57 = 5,796.38/x
  3. Step 3: Cross multiply
    13,696.01x = 20,543.57 × 5,796.38
  4. Step 4: Simplify right side
    13,696.01x = 119,078,338.28
  5. Step 5: Solve for x
    x = 119,078,338.28/13,696.01
  6. Step 6: Final answer
    x = 8,694.38

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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.