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Finding the Fourth Proportional to 19,729.68, 27,227.40 and 11,232.24

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Solution

The fourth proportional to 19,729.68, 27,227.40 and 11,232.24 is: 15,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.68 : 27,227.40 = 11,232.24 : x
  2. Step 2: Convert to fraction form
    19,729.68/27,227.40 = 11,232.24/x
  3. Step 3: Cross multiply
    19,729.68x = 27,227.40 × 11,232.24
  4. Step 4: Simplify right side
    19,729.68x = 305,824,691.38
  5. Step 5: Solve for x
    x = 305,824,691.38/19,729.68
  6. Step 6: Final answer
    x = 15,500.74

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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.