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Finding the Fourth Proportional to 19,646.84, 27,112.07 and 10,694.14

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Solution

The fourth proportional to 19,646.84, 27,112.07 and 10,694.14 is: 14,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.84 : 27,112.07 = 10,694.14 : x
  2. Step 2: Convert to fraction form
    19,646.84/27,112.07 = 10,694.14/x
  3. Step 3: Cross multiply
    19,646.84x = 27,112.07 × 10,694.14
  4. Step 4: Simplify right side
    19,646.84x = 289,940,083.24
  5. Step 5: Solve for x
    x = 289,940,083.24/19,646.84
  6. Step 6: Final answer
    x = 14,757.59

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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.