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Finding the Fourth Proportional to 27,844, 38,424.30 and 15,096.82

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Solution

The fourth proportional to 27,844, 38,424.30 and 15,096.82 is: 20,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844 : 38,424.30 = 15,096.82 : x
  2. Step 2: Convert to fraction form
    27,844/38,424.30 = 15,096.82/x
  3. Step 3: Cross multiply
    27,844x = 38,424.30 × 15,096.82
  4. Step 4: Simplify right side
    27,844x = 580,084,740.73
  5. Step 5: Solve for x
    x = 580,084,740.73/27,844
  6. Step 6: Final answer
    x = 20,833.38

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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.