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Finding the Fourth Proportional to 17,896.96, 24,696 and 10,449.28

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Solution

The fourth proportional to 17,896.96, 24,696 and 10,449.28 is: 14,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.96 : 24,696 = 10,449.28 : x
  2. Step 2: Convert to fraction form
    17,896.96/24,696 = 10,449.28/x
  3. Step 3: Cross multiply
    17,896.96x = 24,696 × 10,449.28
  4. Step 4: Simplify right side
    17,896.96x = 258,055,418.88
  5. Step 5: Solve for x
    x = 258,055,418.88/17,896.96
  6. Step 6: Final answer
    x = 14,418.95

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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.