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Finding the Fourth Proportional to 27,884.44, 38,486.46 and 16,712.92

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Solution

The fourth proportional to 27,884.44, 38,486.46 and 16,712.92 is: 23,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.44 : 38,486.46 = 16,712.92 : x
  2. Step 2: Convert to fraction form
    27,884.44/38,486.46 = 16,712.92/x
  3. Step 3: Cross multiply
    27,884.44x = 38,486.46 × 16,712.92
  4. Step 4: Simplify right side
    27,884.44x = 643,221,127.06
  5. Step 5: Solve for x
    x = 643,221,127.06/27,884.44
  6. Step 6: Final answer
    x = 23,067.39

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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.