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Finding the Fourth Proportional to 19,706.46, 27,195.52 and 11,209.82

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Solution

The fourth proportional to 19,706.46, 27,195.52 and 11,209.82 is: 15,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.46 : 27,195.52 = 11,209.82 : x
  2. Step 2: Convert to fraction form
    19,706.46/27,195.52 = 11,209.82/x
  3. Step 3: Cross multiply
    19,706.46x = 27,195.52 × 11,209.82
  4. Step 4: Simplify right side
    19,706.46x = 304,856,849.04
  5. Step 5: Solve for x
    x = 304,856,849.04/19,706.46
  6. Step 6: Final answer
    x = 15,469.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.