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Finding the Fourth Proportional to 19,827.14, 27,361.83 and 10,874.12

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Solution

The fourth proportional to 19,827.14, 27,361.83 and 10,874.12 is: 15,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.14 : 27,361.83 = 10,874.12 : x
  2. Step 2: Convert to fraction form
    19,827.14/27,361.83 = 10,874.12/x
  3. Step 3: Cross multiply
    19,827.14x = 27,361.83 × 10,874.12
  4. Step 4: Simplify right side
    19,827.14x = 297,535,686.03
  5. Step 5: Solve for x
    x = 297,535,686.03/19,827.14
  6. Step 6: Final answer
    x = 15,006.49

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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.