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Finding the Fourth Proportional to 16,276.26, 22,461.24 and 8,824.26

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Solution

The fourth proportional to 16,276.26, 22,461.24 and 8,824.26 is: 12,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.26 : 22,461.24 = 8,824.26 : x
  2. Step 2: Convert to fraction form
    16,276.26/22,461.24 = 8,824.26/x
  3. Step 3: Cross multiply
    16,276.26x = 22,461.24 × 8,824.26
  4. Step 4: Simplify right side
    16,276.26x = 198,203,821.68
  5. Step 5: Solve for x
    x = 198,203,821.68/16,276.26
  6. Step 6: Final answer
    x = 12,177.48

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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.