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Finding the Fourth Proportional to 21,105.65, 29,258.98 and 19,982.09

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Solution

The fourth proportional to 21,105.65, 29,258.98 and 19,982.09 is: 27,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.65 : 29,258.98 = 19,982.09 : x
  2. Step 2: Convert to fraction form
    21,105.65/29,258.98 = 19,982.09/x
  3. Step 3: Cross multiply
    21,105.65x = 29,258.98 × 19,982.09
  4. Step 4: Simplify right side
    21,105.65x = 584,655,450.35
  5. Step 5: Solve for x
    x = 584,655,450.35/21,105.65
  6. Step 6: Final answer
    x = 27,701.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.