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Finding the Fourth Proportional to 16,954.97, 23,397.74 and 9,401.31

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Solution

The fourth proportional to 16,954.97, 23,397.74 and 9,401.31 is: 12,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.97 : 23,397.74 = 9,401.31 : x
  2. Step 2: Convert to fraction form
    16,954.97/23,397.74 = 9,401.31/x
  3. Step 3: Cross multiply
    16,954.97x = 23,397.74 × 9,401.31
  4. Step 4: Simplify right side
    16,954.97x = 219,969,430.54
  5. Step 5: Solve for x
    x = 219,969,430.54/16,954.97
  6. Step 6: Final answer
    x = 12,973.74

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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.