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Finding the Fourth Proportional to 27,496.68, 37,945.54 and 14,921.44

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Solution

The fourth proportional to 27,496.68, 37,945.54 and 14,921.44 is: 20,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.68 : 37,945.54 = 14,921.44 : x
  2. Step 2: Convert to fraction form
    27,496.68/37,945.54 = 14,921.44/x
  3. Step 3: Cross multiply
    27,496.68x = 37,945.54 × 14,921.44
  4. Step 4: Simplify right side
    27,496.68x = 566,202,098.38
  5. Step 5: Solve for x
    x = 566,202,098.38/27,496.68
  6. Step 6: Final answer
    x = 20,591.65

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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.