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Finding the Fourth Proportional to 20,105.40, 27,745.74 and 12,146.52

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Solution

The fourth proportional to 20,105.40, 27,745.74 and 12,146.52 is: 16,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.40 : 27,745.74 = 12,146.52 : x
  2. Step 2: Convert to fraction form
    20,105.40/27,745.74 = 12,146.52/x
  3. Step 3: Cross multiply
    20,105.40x = 27,745.74 × 12,146.52
  4. Step 4: Simplify right side
    20,105.40x = 337,014,185.82
  5. Step 5: Solve for x
    x = 337,014,185.82/20,105.40
  6. Step 6: Final answer
    x = 16,762.37

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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.