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Finding the Fourth Proportional to 16,328, 22,532.80 and 8,876.16

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Solution

The fourth proportional to 16,328, 22,532.80 and 8,876.16 is: 12,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328 : 22,532.80 = 8,876.16 : x
  2. Step 2: Convert to fraction form
    16,328/22,532.80 = 8,876.16/x
  3. Step 3: Cross multiply
    16,328x = 22,532.80 × 8,876.16
  4. Step 4: Simplify right side
    16,328x = 200,004,738.05
  5. Step 5: Solve for x
    x = 200,004,738.05/16,328
  6. Step 6: Final answer
    x = 12,249.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.