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Finding the Fourth Proportional to 21,084.28, 29,098.02 and 11,653

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Solution

The fourth proportional to 21,084.28, 29,098.02 and 11,653 is: 16,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.28 : 29,098.02 = 11,653 : x
  2. Step 2: Convert to fraction form
    21,084.28/29,098.02 = 11,653/x
  3. Step 3: Cross multiply
    21,084.28x = 29,098.02 × 11,653
  4. Step 4: Simplify right side
    21,084.28x = 339,079,227.06
  5. Step 5: Solve for x
    x = 339,079,227.06/21,084.28
  6. Step 6: Final answer
    x = 16,082.09

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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.