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Finding the Fourth Proportional to 27,383.50, 37,789.23 and 14,808.25

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Solution

The fourth proportional to 27,383.50, 37,789.23 and 14,808.25 is: 20,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,383.50 : 37,789.23 = 14,808.25 : x
  2. Step 2: Convert to fraction form
    27,383.50/37,789.23 = 14,808.25/x
  3. Step 3: Cross multiply
    27,383.50x = 37,789.23 × 14,808.25
  4. Step 4: Simplify right side
    27,383.50x = 559,592,365.15
  5. Step 5: Solve for x
    x = 559,592,365.15/27,383.50
  6. Step 6: Final answer
    x = 20,435.39

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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.