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Finding the Fourth Proportional to 13,601.29, 20,382.49 and 7,745.80

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Solution

The fourth proportional to 13,601.29, 20,382.49 and 7,745.80 is: 11,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.29 : 20,382.49 = 7,745.80 : x
  2. Step 2: Convert to fraction form
    13,601.29/20,382.49 = 7,745.80/x
  3. Step 3: Cross multiply
    13,601.29x = 20,382.49 × 7,745.80
  4. Step 4: Simplify right side
    13,601.29x = 157,878,691.04
  5. Step 5: Solve for x
    x = 157,878,691.04/13,601.29
  6. Step 6: Final answer
    x = 11,607.63

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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.