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Finding the Fourth Proportional to 16,042.88, 24,029.27 and 8,131.80

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Solution

The fourth proportional to 16,042.88, 24,029.27 and 8,131.80 is: 12,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.88 : 24,029.27 = 8,131.80 : x
  2. Step 2: Convert to fraction form
    16,042.88/24,029.27 = 8,131.80/x
  3. Step 3: Cross multiply
    16,042.88x = 24,029.27 × 8,131.80
  4. Step 4: Simplify right side
    16,042.88x = 195,401,177.13
  5. Step 5: Solve for x
    x = 195,401,177.13/16,042.88
  6. Step 6: Final answer
    x = 12,179.94

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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.