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Finding the Fourth Proportional to 16,991.75, 23,447.78 and 9,438.56

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Solution

The fourth proportional to 16,991.75, 23,447.78 and 9,438.56 is: 13,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991.75 : 23,447.78 = 9,438.56 : x
  2. Step 2: Convert to fraction form
    16,991.75/23,447.78 = 9,438.56/x
  3. Step 3: Cross multiply
    16,991.75x = 23,447.78 × 9,438.56
  4. Step 4: Simplify right side
    16,991.75x = 221,313,113.97
  5. Step 5: Solve for x
    x = 221,313,113.97/16,991.75
  6. Step 6: Final answer
    x = 13,024.74

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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.