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Finding the Fourth Proportional to 20,069.84, 27,696.84 and 11,683.28

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Solution

The fourth proportional to 20,069.84, 27,696.84 and 11,683.28 is: 16,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.84 : 27,696.84 = 11,683.28 : x
  2. Step 2: Convert to fraction form
    20,069.84/27,696.84 = 11,683.28/x
  3. Step 3: Cross multiply
    20,069.84x = 27,696.84 × 11,683.28
  4. Step 4: Simplify right side
    20,069.84x = 323,589,936.84
  5. Step 5: Solve for x
    x = 323,589,936.84/20,069.84
  6. Step 6: Final answer
    x = 16,123.19

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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.