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Finding the Fourth Proportional to 16,725.86, 23,081.94 and 9,172.88

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Solution

The fourth proportional to 16,725.86, 23,081.94 and 9,172.88 is: 12,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,725.86 : 23,081.94 = 9,172.88 : x
  2. Step 2: Convert to fraction form
    16,725.86/23,081.94 = 9,172.88/x
  3. Step 3: Cross multiply
    16,725.86x = 23,081.94 × 9,172.88
  4. Step 4: Simplify right side
    16,725.86x = 211,727,750.38
  5. Step 5: Solve for x
    x = 211,727,750.38/16,725.86
  6. Step 6: Final answer
    x = 12,658.71

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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.