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Finding the Fourth Proportional to 20,274.54, 27,978.34 and 11,199.38

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Solution

The fourth proportional to 20,274.54, 27,978.34 and 11,199.38 is: 15,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.54 : 27,978.34 = 11,199.38 : x
  2. Step 2: Convert to fraction form
    20,274.54/27,978.34 = 11,199.38/x
  3. Step 3: Cross multiply
    20,274.54x = 27,978.34 × 11,199.38
  4. Step 4: Simplify right side
    20,274.54x = 313,340,061.43
  5. Step 5: Solve for x
    x = 313,340,061.43/20,274.54
  6. Step 6: Final answer
    x = 15,454.85

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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.