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Finding the Fourth Proportional to 20,954.72, 31,395.52 and 17,467.14

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Solution

The fourth proportional to 20,954.72, 31,395.52 and 17,467.14 is: 26,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.72 : 31,395.52 = 17,467.14 : x
  2. Step 2: Convert to fraction form
    20,954.72/31,395.52 = 17,467.14/x
  3. Step 3: Cross multiply
    20,954.72x = 31,395.52 × 17,467.14
  4. Step 4: Simplify right side
    20,954.72x = 548,389,943.21
  5. Step 5: Solve for x
    x = 548,389,943.21/20,954.72
  6. Step 6: Final answer
    x = 26,170.23

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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.