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Finding the Fourth Proportional to 16,638.72, 24,958.02 and 6,775.80

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Solution

The fourth proportional to 16,638.72, 24,958.02 and 6,775.80 is: 10,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.72 : 24,958.02 = 6,775.80 : x
  2. Step 2: Convert to fraction form
    16,638.72/24,958.02 = 6,775.80/x
  3. Step 3: Cross multiply
    16,638.72x = 24,958.02 × 6,775.80
  4. Step 4: Simplify right side
    16,638.72x = 169,110,551.92
  5. Step 5: Solve for x
    x = 169,110,551.92/16,638.72
  6. Step 6: Final answer
    x = 10,163.68

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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.