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Finding the Fourth Proportional to 16,496.38, 22,764.80 and 8,942.72

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Solution

The fourth proportional to 16,496.38, 22,764.80 and 8,942.72 is: 12,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.38 : 22,764.80 = 8,942.72 : x
  2. Step 2: Convert to fraction form
    16,496.38/22,764.80 = 8,942.72/x
  3. Step 3: Cross multiply
    16,496.38x = 22,764.80 × 8,942.72
  4. Step 4: Simplify right side
    16,496.38x = 203,579,232.26
  5. Step 5: Solve for x
    x = 203,579,232.26/16,496.38
  6. Step 6: Final answer
    x = 12,340.84

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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.