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Finding the Fourth Proportional to 34,391.70, 51,575.40 and 12,205.80

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Solution

The fourth proportional to 34,391.70, 51,575.40 and 12,205.80 is: 18,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,391.70 : 51,575.40 = 12,205.80 : x
  2. Step 2: Convert to fraction form
    34,391.70/51,575.40 = 12,205.80/x
  3. Step 3: Cross multiply
    34,391.70x = 51,575.40 × 12,205.80
  4. Step 4: Simplify right side
    34,391.70x = 629,519,017.32
  5. Step 5: Solve for x
    x = 629,519,017.32/34,391.70
  6. Step 6: Final answer
    x = 18,304.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.