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Finding the Fourth Proportional to 21,085.28, 29,097.84 and 11,654.12

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Solution

The fourth proportional to 21,085.28, 29,097.84 and 11,654.12 is: 16,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.28 : 29,097.84 = 11,654.12 : x
  2. Step 2: Convert to fraction form
    21,085.28/29,097.84 = 11,654.12/x
  3. Step 3: Cross multiply
    21,085.28x = 29,097.84 × 11,654.12
  4. Step 4: Simplify right side
    21,085.28x = 339,109,719.10
  5. Step 5: Solve for x
    x = 339,109,719.10/21,085.28
  6. Step 6: Final answer
    x = 16,082.77

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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.