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Finding the Fourth Proportional to 27,801, 38,365.65 and 16,623

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Solution

The fourth proportional to 27,801, 38,365.65 and 16,623 is: 22,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801 : 38,365.65 = 16,623 : x
  2. Step 2: Convert to fraction form
    27,801/38,365.65 = 16,623/x
  3. Step 3: Cross multiply
    27,801x = 38,365.65 × 16,623
  4. Step 4: Simplify right side
    27,801x = 637,752,199.95
  5. Step 5: Solve for x
    x = 637,752,199.95/27,801
  6. Step 6: Final answer
    x = 22,939.90

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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.