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Finding the Fourth Proportional to 21,519, 29,696.49 and 13,021.29

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Solution

The fourth proportional to 21,519, 29,696.49 and 13,021.29 is: 17,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519 : 29,696.49 = 13,021.29 : x
  2. Step 2: Convert to fraction form
    21,519/29,696.49 = 13,021.29/x
  3. Step 3: Cross multiply
    21,519x = 29,696.49 × 13,021.29
  4. Step 4: Simplify right side
    21,519x = 386,686,608.27
  5. Step 5: Solve for x
    x = 386,686,608.27/21,519
  6. Step 6: Final answer
    x = 17,969.54

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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.