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Finding the Fourth Proportional to 12,827.43, 17,703.09 and 7,790.49

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Solution

The fourth proportional to 12,827.43, 17,703.09 and 7,790.49 is: 10,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.43 : 17,703.09 = 7,790.49 : x
  2. Step 2: Convert to fraction form
    12,827.43/17,703.09 = 7,790.49/x
  3. Step 3: Cross multiply
    12,827.43x = 17,703.09 × 7,790.49
  4. Step 4: Simplify right side
    12,827.43x = 137,915,745.61
  5. Step 5: Solve for x
    x = 137,915,745.61/12,827.43
  6. Step 6: Final answer
    x = 10,751.63

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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.