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Finding the Fourth Proportional to 21,768.82, 30,037.64 and 12,209.20

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Solution

The fourth proportional to 21,768.82, 30,037.64 and 12,209.20 is: 16,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768.82 : 30,037.64 = 12,209.20 : x
  2. Step 2: Convert to fraction form
    21,768.82/30,037.64 = 12,209.20/x
  3. Step 3: Cross multiply
    21,768.82x = 30,037.64 × 12,209.20
  4. Step 4: Simplify right side
    21,768.82x = 366,735,554.29
  5. Step 5: Solve for x
    x = 366,735,554.29/21,768.82
  6. Step 6: Final answer
    x = 16,846.83

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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.