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Finding the Fourth Proportional to 12,845.88, 17,729.57 and 7,469.98

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Solution

The fourth proportional to 12,845.88, 17,729.57 and 7,469.98 is: 10,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.88 : 17,729.57 = 7,469.98 : x
  2. Step 2: Convert to fraction form
    12,845.88/17,729.57 = 7,469.98/x
  3. Step 3: Cross multiply
    12,845.88x = 17,729.57 × 7,469.98
  4. Step 4: Simplify right side
    12,845.88x = 132,439,574.15
  5. Step 5: Solve for x
    x = 132,439,574.15/12,845.88
  6. Step 6: Final answer
    x = 10,309.89

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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.