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Finding the Fourth Proportional to 19,827.35, 27,361.79 and 10,874.93

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Solution

The fourth proportional to 19,827.35, 27,361.79 and 10,874.93 is: 15,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.35 : 27,361.79 = 10,874.93 : x
  2. Step 2: Convert to fraction form
    19,827.35/27,361.79 = 10,874.93/x
  3. Step 3: Cross multiply
    19,827.35x = 27,361.79 × 10,874.93
  4. Step 4: Simplify right side
    19,827.35x = 297,557,462.35
  5. Step 5: Solve for x
    x = 297,557,462.35/19,827.35
  6. Step 6: Final answer
    x = 15,007.42

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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.