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Finding the Fourth Proportional to 20,082.84, 27,714.78 and 11,696.28

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Solution

The fourth proportional to 20,082.84, 27,714.78 and 11,696.28 is: 16,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.84 : 27,714.78 = 11,696.28 : x
  2. Step 2: Convert to fraction form
    20,082.84/27,714.78 = 11,696.28/x
  3. Step 3: Cross multiply
    20,082.84x = 27,714.78 × 11,696.28
  4. Step 4: Simplify right side
    20,082.84x = 324,159,827.02
  5. Step 5: Solve for x
    x = 324,159,827.02/20,082.84
  6. Step 6: Final answer
    x = 16,141.13

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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.