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Finding the Fourth Proportional to 11,696.09, 17,549.24 and 6,148.13

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Solution

The fourth proportional to 11,696.09, 17,549.24 and 6,148.13 is: 9,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.09 : 17,549.24 = 6,148.13 : x
  2. Step 2: Convert to fraction form
    11,696.09/17,549.24 = 6,148.13/x
  3. Step 3: Cross multiply
    11,696.09x = 17,549.24 × 6,148.13
  4. Step 4: Simplify right side
    11,696.09x = 107,894,890.43
  5. Step 5: Solve for x
    x = 107,894,890.43/11,696.09
  6. Step 6: Final answer
    x = 9,224.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.