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Finding the Fourth Proportional to 27,383.63, 37,789.34 and 14,808.38

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Solution

The fourth proportional to 27,383.63, 37,789.34 and 14,808.38 is: 20,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,383.63 : 37,789.34 = 14,808.38 : x
  2. Step 2: Convert to fraction form
    27,383.63/37,789.34 = 14,808.38/x
  3. Step 3: Cross multiply
    27,383.63x = 37,789.34 × 14,808.38
  4. Step 4: Simplify right side
    27,383.63x = 559,598,643.68
  5. Step 5: Solve for x
    x = 559,598,643.68/27,383.63
  6. Step 6: Final answer
    x = 20,435.52

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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.