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Finding the Fourth Proportional to 23,271.20, 34,906.80 and 16,272.80

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Solution

The fourth proportional to 23,271.20, 34,906.80 and 16,272.80 is: 24,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,271.20 : 34,906.80 = 16,272.80 : x
  2. Step 2: Convert to fraction form
    23,271.20/34,906.80 = 16,272.80/x
  3. Step 3: Cross multiply
    23,271.20x = 34,906.80 × 16,272.80
  4. Step 4: Simplify right side
    23,271.20x = 568,031,375.04
  5. Step 5: Solve for x
    x = 568,031,375.04/23,271.20
  6. Step 6: Final answer
    x = 24,409.20

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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.