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Finding the Fourth Proportional to 16,808.65, 23,196 and 9,255.73

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Solution

The fourth proportional to 16,808.65, 23,196 and 9,255.73 is: 12,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.65 : 23,196 = 9,255.73 : x
  2. Step 2: Convert to fraction form
    16,808.65/23,196 = 9,255.73/x
  3. Step 3: Cross multiply
    16,808.65x = 23,196 × 9,255.73
  4. Step 4: Simplify right side
    16,808.65x = 214,695,913.08
  5. Step 5: Solve for x
    x = 214,695,913.08/16,808.65
  6. Step 6: Final answer
    x = 12,772.94

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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.