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Finding the Fourth Proportional to 16,475.97, 22,734.36 and 9,401.43

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Solution

The fourth proportional to 16,475.97, 22,734.36 and 9,401.43 is: 12,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.97 : 22,734.36 = 9,401.43 : x
  2. Step 2: Convert to fraction form
    16,475.97/22,734.36 = 9,401.43/x
  3. Step 3: Cross multiply
    16,475.97x = 22,734.36 × 9,401.43
  4. Step 4: Simplify right side
    16,475.97x = 213,735,494.13
  5. Step 5: Solve for x
    x = 213,735,494.13/16,475.97
  6. Step 6: Final answer
    x = 12,972.56

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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.