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Finding the Fourth Proportional to 19,644.90, 27,110.24 and 10,692.42

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Solution

The fourth proportional to 19,644.90, 27,110.24 and 10,692.42 is: 14,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.90 : 27,110.24 = 10,692.42 : x
  2. Step 2: Convert to fraction form
    19,644.90/27,110.24 = 10,692.42/x
  3. Step 3: Cross multiply
    19,644.90x = 27,110.24 × 10,692.42
  4. Step 4: Simplify right side
    19,644.90x = 289,874,072.38
  5. Step 5: Solve for x
    x = 289,874,072.38/19,644.90
  6. Step 6: Final answer
    x = 14,755.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.