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Finding the Fourth Proportional to 16,638.97, 24,958.41 and 6,775.93

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Solution

The fourth proportional to 16,638.97, 24,958.41 and 6,775.93 is: 10,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.97 : 24,958.41 = 6,775.93 : x
  2. Step 2: Convert to fraction form
    16,638.97/24,958.41 = 6,775.93/x
  3. Step 3: Cross multiply
    16,638.97x = 24,958.41 × 6,775.93
  4. Step 4: Simplify right side
    16,638.97x = 169,116,439.07
  5. Step 5: Solve for x
    x = 169,116,439.07/16,638.97
  6. Step 6: Final answer
    x = 10,163.88

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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.