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Finding the Fourth Proportional to 16,431.56, 22,675.38 and 8,979.56

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Solution

The fourth proportional to 16,431.56, 22,675.38 and 8,979.56 is: 12,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.56 : 22,675.38 = 8,979.56 : x
  2. Step 2: Convert to fraction form
    16,431.56/22,675.38 = 8,979.56/x
  3. Step 3: Cross multiply
    16,431.56x = 22,675.38 × 8,979.56
  4. Step 4: Simplify right side
    16,431.56x = 203,614,935.23
  5. Step 5: Solve for x
    x = 203,614,935.23/16,431.56
  6. Step 6: Final answer
    x = 12,391.70

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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.