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Finding the Fourth Proportional to 11,696.72, 17,549.44 and 7,020.08

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Solution

The fourth proportional to 11,696.72, 17,549.44 and 7,020.08 is: 10,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.72 : 17,549.44 = 7,020.08 : x
  2. Step 2: Convert to fraction form
    11,696.72/17,549.44 = 7,020.08/x
  3. Step 3: Cross multiply
    11,696.72x = 17,549.44 × 7,020.08
  4. Step 4: Simplify right side
    11,696.72x = 123,198,433.27
  5. Step 5: Solve for x
    x = 123,198,433.27/11,696.72
  6. Step 6: Final answer
    x = 10,532.74

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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.