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Finding the Fourth Proportional to 27,553.32, 38,022.75 and 16,220.21

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Solution

The fourth proportional to 27,553.32, 38,022.75 and 16,220.21 is: 22,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,553.32 : 38,022.75 = 16,220.21 : x
  2. Step 2: Convert to fraction form
    27,553.32/38,022.75 = 16,220.21/x
  3. Step 3: Cross multiply
    27,553.32x = 38,022.75 × 16,220.21
  4. Step 4: Simplify right side
    27,553.32x = 616,736,799.66
  5. Step 5: Solve for x
    x = 616,736,799.66/27,553.32
  6. Step 6: Final answer
    x = 22,383.39

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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.