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Finding the Fourth Proportional to 19,827.84, 27,394.56 and 16,874.88

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Solution

The fourth proportional to 19,827.84, 27,394.56 and 16,874.88 is: 23,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.84 : 27,394.56 = 16,874.88 : x
  2. Step 2: Convert to fraction form
    19,827.84/27,394.56 = 16,874.88/x
  3. Step 3: Cross multiply
    19,827.84x = 27,394.56 × 16,874.88
  4. Step 4: Simplify right side
    19,827.84x = 462,279,912.65
  5. Step 5: Solve for x
    x = 462,279,912.65/19,827.84
  6. Step 6: Final answer
    x = 23,314.69

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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.