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Finding the Fourth Proportional to 20,067.84, 27,666.24 and 13,353.76

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Solution

The fourth proportional to 20,067.84, 27,666.24 and 13,353.76 is: 18,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.84 : 27,666.24 = 13,353.76 : x
  2. Step 2: Convert to fraction form
    20,067.84/27,666.24 = 13,353.76/x
  3. Step 3: Cross multiply
    20,067.84x = 27,666.24 × 13,353.76
  4. Step 4: Simplify right side
    20,067.84x = 369,448,329.06
  5. Step 5: Solve for x
    x = 369,448,329.06/20,067.84
  6. Step 6: Final answer
    x = 18,409.97

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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.