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Finding the Fourth Proportional to 13,696.14, 20,445.11 and 12,035.37

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Solution

The fourth proportional to 13,696.14, 20,445.11 and 12,035.37 is: 17,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.14 : 20,445.11 = 12,035.37 : x
  2. Step 2: Convert to fraction form
    13,696.14/20,445.11 = 12,035.37/x
  3. Step 3: Cross multiply
    13,696.14x = 20,445.11 × 12,035.37
  4. Step 4: Simplify right side
    13,696.14x = 246,064,463.54
  5. Step 5: Solve for x
    x = 246,064,463.54/13,696.14
  6. Step 6: Final answer
    x = 17,965.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.