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Finding the Fourth Proportional to 21,760.85, 30,029.70 and 12,200.69

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Solution

The fourth proportional to 21,760.85, 30,029.70 and 12,200.69 is: 16,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760.85 : 30,029.70 = 12,200.69 : x
  2. Step 2: Convert to fraction form
    21,760.85/30,029.70 = 12,200.69/x
  3. Step 3: Cross multiply
    21,760.85x = 30,029.70 × 12,200.69
  4. Step 4: Simplify right side
    21,760.85x = 366,383,060.49
  5. Step 5: Solve for x
    x = 366,383,060.49/21,760.85
  6. Step 6: Final answer
    x = 16,836.80

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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.