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Finding the Fourth Proportional to 17,696.24, 24,420.82 and 9,738.47

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Solution

The fourth proportional to 17,696.24, 24,420.82 and 9,738.47 is: 13,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.24 : 24,420.82 = 9,738.47 : x
  2. Step 2: Convert to fraction form
    17,696.24/24,420.82 = 9,738.47/x
  3. Step 3: Cross multiply
    17,696.24x = 24,420.82 × 9,738.47
  4. Step 4: Simplify right side
    17,696.24x = 237,821,459.65
  5. Step 5: Solve for x
    x = 237,821,459.65/17,696.24
  6. Step 6: Final answer
    x = 13,439.10

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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.