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Finding the Fourth Proportional to 16,801.68, 23,186.88 and 12,105.84

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Solution

The fourth proportional to 16,801.68, 23,186.88 and 12,105.84 is: 16,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.68 : 23,186.88 = 12,105.84 : x
  2. Step 2: Convert to fraction form
    16,801.68/23,186.88 = 12,105.84/x
  3. Step 3: Cross multiply
    16,801.68x = 23,186.88 × 12,105.84
  4. Step 4: Simplify right side
    16,801.68x = 280,696,659.38
  5. Step 5: Solve for x
    x = 280,696,659.38/16,801.68
  6. Step 6: Final answer
    x = 16,706.46

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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.