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Finding the Fourth Proportional to 19,780.33, 27,284.56 and 12,228.97

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Solution

The fourth proportional to 19,780.33, 27,284.56 and 12,228.97 is: 16,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.33 : 27,284.56 = 12,228.97 : x
  2. Step 2: Convert to fraction form
    19,780.33/27,284.56 = 12,228.97/x
  3. Step 3: Cross multiply
    19,780.33x = 27,284.56 × 12,228.97
  4. Step 4: Simplify right side
    19,780.33x = 333,662,065.70
  5. Step 5: Solve for x
    x = 333,662,065.70/19,780.33
  6. Step 6: Final answer
    x = 16,868.38

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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.