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Finding the Fourth Proportional to 11,342.57, 17,014.69 and 3,022.56

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Solution

The fourth proportional to 11,342.57, 17,014.69 and 3,022.56 is: 4,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.57 : 17,014.69 = 3,022.56 : x
  2. Step 2: Convert to fraction form
    11,342.57/17,014.69 = 3,022.56/x
  3. Step 3: Cross multiply
    11,342.57x = 17,014.69 × 3,022.56
  4. Step 4: Simplify right side
    11,342.57x = 51,427,921.41
  5. Step 5: Solve for x
    x = 51,427,921.41/11,342.57
  6. Step 6: Final answer
    x = 4,534.06

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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.