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Finding the Fourth Proportional to 20,278.67, 27,982.74 and 11,324.93

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Solution

The fourth proportional to 20,278.67, 27,982.74 and 11,324.93 is: 15,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.67 : 27,982.74 = 11,324.93 : x
  2. Step 2: Convert to fraction form
    20,278.67/27,982.74 = 11,324.93/x
  3. Step 3: Cross multiply
    20,278.67x = 27,982.74 × 11,324.93
  4. Step 4: Simplify right side
    20,278.67x = 316,902,501.75
  5. Step 5: Solve for x
    x = 316,902,501.75/20,278.67
  6. Step 6: Final answer
    x = 15,627.38

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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.