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Finding the Fourth Proportional to 20,067.77, 27,684.33 and 12,996.47

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Solution

The fourth proportional to 20,067.77, 27,684.33 and 12,996.47 is: 17,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.77 : 27,684.33 = 12,996.47 : x
  2. Step 2: Convert to fraction form
    20,067.77/27,684.33 = 12,996.47/x
  3. Step 3: Cross multiply
    20,067.77x = 27,684.33 × 12,996.47
  4. Step 4: Simplify right side
    20,067.77x = 359,798,564.32
  5. Step 5: Solve for x
    x = 359,798,564.32/20,067.77
  6. Step 6: Final answer
    x = 17,929.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.