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Finding the Fourth Proportional to 21,647.97, 29,863.19 and 13,147.83

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Solution

The fourth proportional to 21,647.97, 29,863.19 and 13,147.83 is: 18,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.97 : 29,863.19 = 13,147.83 : x
  2. Step 2: Convert to fraction form
    21,647.97/29,863.19 = 13,147.83/x
  3. Step 3: Cross multiply
    21,647.97x = 29,863.19 × 13,147.83
  4. Step 4: Simplify right side
    21,647.97x = 392,636,178.25
  5. Step 5: Solve for x
    x = 392,636,178.25/21,647.97
  6. Step 6: Final answer
    x = 18,137.32

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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.