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Finding the Fourth Proportional to 21,824.67, 30,129.50 and 14,692.12

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Solution

The fourth proportional to 21,824.67, 30,129.50 and 14,692.12 is: 20,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.67 : 30,129.50 = 14,692.12 : x
  2. Step 2: Convert to fraction form
    21,824.67/30,129.50 = 14,692.12/x
  3. Step 3: Cross multiply
    21,824.67x = 30,129.50 × 14,692.12
  4. Step 4: Simplify right side
    21,824.67x = 442,666,229.54
  5. Step 5: Solve for x
    x = 442,666,229.54/21,824.67
  6. Step 6: Final answer
    x = 20,282.84

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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.