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Finding the Fourth Proportional to 19,772.28, 27,288.78 and 11,274.39

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Solution

The fourth proportional to 19,772.28, 27,288.78 and 11,274.39 is: 15,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.28 : 27,288.78 = 11,274.39 : x
  2. Step 2: Convert to fraction form
    19,772.28/27,288.78 = 11,274.39/x
  3. Step 3: Cross multiply
    19,772.28x = 27,288.78 × 11,274.39
  4. Step 4: Simplify right side
    19,772.28x = 307,664,348.34
  5. Step 5: Solve for x
    x = 307,664,348.34/19,772.28
  6. Step 6: Final answer
    x = 15,560.39

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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.