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Finding the Fourth Proportional to 16,085.50, 24,141.21 and 8,296.54

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Solution

The fourth proportional to 16,085.50, 24,141.21 and 8,296.54 is: 12,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.50 : 24,141.21 = 8,296.54 : x
  2. Step 2: Convert to fraction form
    16,085.50/24,141.21 = 8,296.54/x
  3. Step 3: Cross multiply
    16,085.50x = 24,141.21 × 8,296.54
  4. Step 4: Simplify right side
    16,085.50x = 200,288,514.41
  5. Step 5: Solve for x
    x = 200,288,514.41/16,085.50
  6. Step 6: Final answer
    x = 12,451.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.