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Finding the Fourth Proportional to 19,644.84, 27,109.31 and 10,692.14

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Solution

The fourth proportional to 19,644.84, 27,109.31 and 10,692.14 is: 14,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.84 : 27,109.31 = 10,692.14 : x
  2. Step 2: Convert to fraction form
    19,644.84/27,109.31 = 10,692.14/x
  3. Step 3: Cross multiply
    19,644.84x = 27,109.31 × 10,692.14
  4. Step 4: Simplify right side
    19,644.84x = 289,856,348.82
  5. Step 5: Solve for x
    x = 289,856,348.82/19,644.84
  6. Step 6: Final answer
    x = 14,754.83

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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.