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Finding the Fourth Proportional to 17,696.44, 24,420.57 and 9,738.66

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Solution

The fourth proportional to 17,696.44, 24,420.57 and 9,738.66 is: 13,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.44 : 24,420.57 = 9,738.66 : x
  2. Step 2: Convert to fraction form
    17,696.44/24,420.57 = 9,738.66/x
  3. Step 3: Cross multiply
    17,696.44x = 24,420.57 × 9,738.66
  4. Step 4: Simplify right side
    17,696.44x = 237,823,628.24
  5. Step 5: Solve for x
    x = 237,823,628.24/17,696.44
  6. Step 6: Final answer
    x = 13,439.07

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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.