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Finding the Fourth Proportional to 17,982.40, 26,963.52 and 13,812

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Solution

The fourth proportional to 17,982.40, 26,963.52 and 13,812 is: 20,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.40 : 26,963.52 = 13,812 : x
  2. Step 2: Convert to fraction form
    17,982.40/26,963.52 = 13,812/x
  3. Step 3: Cross multiply
    17,982.40x = 26,963.52 × 13,812
  4. Step 4: Simplify right side
    17,982.40x = 372,420,138.24
  5. Step 5: Solve for x
    x = 372,420,138.24/17,982.40
  6. Step 6: Final answer
    x = 20,710.26

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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.