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Finding the Fourth Proportional to 16,505.26, 22,777.15 and 8,951.77

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Solution

The fourth proportional to 16,505.26, 22,777.15 and 8,951.77 is: 12,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.26 : 22,777.15 = 8,951.77 : x
  2. Step 2: Convert to fraction form
    16,505.26/22,777.15 = 8,951.77/x
  3. Step 3: Cross multiply
    16,505.26x = 22,777.15 × 8,951.77
  4. Step 4: Simplify right side
    16,505.26x = 203,895,808.06
  5. Step 5: Solve for x
    x = 203,895,808.06/16,505.26
  6. Step 6: Final answer
    x = 12,353.38

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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.