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Finding the Fourth Proportional to 11,617.14, 17,428.20 and 3,299.70

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Solution

The fourth proportional to 11,617.14, 17,428.20 and 3,299.70 is: 4,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.14 : 17,428.20 = 3,299.70 : x
  2. Step 2: Convert to fraction form
    11,617.14/17,428.20 = 3,299.70/x
  3. Step 3: Cross multiply
    11,617.14x = 17,428.20 × 3,299.70
  4. Step 4: Simplify right side
    11,617.14x = 57,507,831.54
  5. Step 5: Solve for x
    x = 57,507,831.54/11,617.14
  6. Step 6: Final answer
    x = 4,950.26

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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.