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Finding the Fourth Proportional to 16,496.56, 22,765.20 and 8,942.92

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Solution

The fourth proportional to 16,496.56, 22,765.20 and 8,942.92 is: 12,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.56 : 22,765.20 = 8,942.92 : x
  2. Step 2: Convert to fraction form
    16,496.56/22,765.20 = 8,942.92/x
  3. Step 3: Cross multiply
    16,496.56x = 22,765.20 × 8,942.92
  4. Step 4: Simplify right side
    16,496.56x = 203,587,362.38
  5. Step 5: Solve for x
    x = 203,587,362.38/16,496.56
  6. Step 6: Final answer
    x = 12,341.20

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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.