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Finding the Fourth Proportional to 13,202.75, 19,756.94 and 11,468.19

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Solution

The fourth proportional to 13,202.75, 19,756.94 and 11,468.19 is: 17,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.75 : 19,756.94 = 11,468.19 : x
  2. Step 2: Convert to fraction form
    13,202.75/19,756.94 = 11,468.19/x
  3. Step 3: Cross multiply
    13,202.75x = 19,756.94 × 11,468.19
  4. Step 4: Simplify right side
    13,202.75x = 226,576,284.40
  5. Step 5: Solve for x
    x = 226,576,284.40/13,202.75
  6. Step 6: Final answer
    x = 17,161.30

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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.