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Finding the Fourth Proportional to 27,496.50, 37,945.17 and 14,921.25

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Solution

The fourth proportional to 27,496.50, 37,945.17 and 14,921.25 is: 20,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.50 : 37,945.17 = 14,921.25 : x
  2. Step 2: Convert to fraction form
    27,496.50/37,945.17 = 14,921.25/x
  3. Step 3: Cross multiply
    27,496.50x = 37,945.17 × 14,921.25
  4. Step 4: Simplify right side
    27,496.50x = 566,189,367.86
  5. Step 5: Solve for x
    x = 566,189,367.86/27,496.50
  6. Step 6: Final answer
    x = 20,591.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.