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Finding the Fourth Proportional to 11,770.16, 17,540.56 and 11,414.16

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Solution

The fourth proportional to 11,770.16, 17,540.56 and 11,414.16 is: 17,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.16 : 17,540.56 = 11,414.16 : x
  2. Step 2: Convert to fraction form
    11,770.16/17,540.56 = 11,414.16/x
  3. Step 3: Cross multiply
    11,770.16x = 17,540.56 × 11,414.16
  4. Step 4: Simplify right side
    11,770.16x = 200,210,758.33
  5. Step 5: Solve for x
    x = 200,210,758.33/11,770.16
  6. Step 6: Final answer
    x = 17,010.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.