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Finding the Fourth Proportional to 16,276.38, 22,461.42 and 8,824.38

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Solution

The fourth proportional to 16,276.38, 22,461.42 and 8,824.38 is: 12,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.38 : 22,461.42 = 8,824.38 : x
  2. Step 2: Convert to fraction form
    16,276.38/22,461.42 = 8,824.38/x
  3. Step 3: Cross multiply
    16,276.38x = 22,461.42 × 8,824.38
  4. Step 4: Simplify right side
    16,276.38x = 198,208,105.42
  5. Step 5: Solve for x
    x = 198,208,105.42/16,276.38
  6. Step 6: Final answer
    x = 12,177.65

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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.