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Finding the Fourth Proportional to 13,019, 17,969.46 and 7,433.24

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Solution

The fourth proportional to 13,019, 17,969.46 and 7,433.24 is: 10,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019 : 17,969.46 = 7,433.24 : x
  2. Step 2: Convert to fraction form
    13,019/17,969.46 = 7,433.24/x
  3. Step 3: Cross multiply
    13,019x = 17,969.46 × 7,433.24
  4. Step 4: Simplify right side
    13,019x = 133,571,308.85
  5. Step 5: Solve for x
    x = 133,571,308.85/13,019
  6. Step 6: Final answer
    x = 10,259.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.