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Finding the Fourth Proportional to 16,409.91, 24,616.16 and 8,085.38

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Solution

The fourth proportional to 16,409.91, 24,616.16 and 8,085.38 is: 12,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.91 : 24,616.16 = 8,085.38 : x
  2. Step 2: Convert to fraction form
    16,409.91/24,616.16 = 8,085.38/x
  3. Step 3: Cross multiply
    16,409.91x = 24,616.16 × 8,085.38
  4. Step 4: Simplify right side
    16,409.91x = 199,031,007.74
  5. Step 5: Solve for x
    x = 199,031,007.74/16,409.91
  6. Step 6: Final answer
    x = 12,128.71

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1.5x scale

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.