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Finding the Fourth Proportional to 21,692.28, 29,923.77 and 13,197

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Solution

The fourth proportional to 21,692.28, 29,923.77 and 13,197 is: 18,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.28 : 29,923.77 = 13,197 : x
  2. Step 2: Convert to fraction form
    21,692.28/29,923.77 = 13,197/x
  3. Step 3: Cross multiply
    21,692.28x = 29,923.77 × 13,197
  4. Step 4: Simplify right side
    21,692.28x = 394,903,992.69
  5. Step 5: Solve for x
    x = 394,903,992.69/21,692.28
  6. Step 6: Final answer
    x = 18,204.82

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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.