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Finding the Fourth Proportional to 19,809.97, 27,338.31 and 10,857.65

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Solution

The fourth proportional to 19,809.97, 27,338.31 and 10,857.65 is: 14,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.97 : 27,338.31 = 10,857.65 : x
  2. Step 2: Convert to fraction form
    19,809.97/27,338.31 = 10,857.65/x
  3. Step 3: Cross multiply
    19,809.97x = 27,338.31 × 10,857.65
  4. Step 4: Simplify right side
    19,809.97x = 296,829,664.88
  5. Step 5: Solve for x
    x = 296,829,664.88/19,809.97
  6. Step 6: Final answer
    x = 14,983.85

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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.