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Finding the Fourth Proportional to 19,830.92, 27,364.64 and 11,872.94

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Solution

The fourth proportional to 19,830.92, 27,364.64 and 11,872.94 is: 16,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.92 : 27,364.64 = 11,872.94 : x
  2. Step 2: Convert to fraction form
    19,830.92/27,364.64 = 11,872.94/x
  3. Step 3: Cross multiply
    19,830.92x = 27,364.64 × 11,872.94
  4. Step 4: Simplify right side
    19,830.92x = 324,898,532.65
  5. Step 5: Solve for x
    x = 324,898,532.65/19,830.92
  6. Step 6: Final answer
    x = 16,383.44

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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.