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Finding the Fourth Proportional to 19,706.38, 27,197.10 and 11,209.78

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Solution

The fourth proportional to 19,706.38, 27,197.10 and 11,209.78 is: 15,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.38 : 27,197.10 = 11,209.78 : x
  2. Step 2: Convert to fraction form
    19,706.38/27,197.10 = 11,209.78/x
  3. Step 3: Cross multiply
    19,706.38x = 27,197.10 × 11,209.78
  4. Step 4: Simplify right side
    19,706.38x = 304,873,507.64
  5. Step 5: Solve for x
    x = 304,873,507.64/19,706.38
  6. Step 6: Final answer
    x = 15,470.80

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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.