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Finding the Fourth Proportional to 20,102.99, 27,745.32 and 12,146.36

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Solution

The fourth proportional to 20,102.99, 27,745.32 and 12,146.36 is: 16,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.99 : 27,745.32 = 12,146.36 : x
  2. Step 2: Convert to fraction form
    20,102.99/27,745.32 = 12,146.36/x
  3. Step 3: Cross multiply
    20,102.99x = 27,745.32 × 12,146.36
  4. Step 4: Simplify right side
    20,102.99x = 337,004,645.04
  5. Step 5: Solve for x
    x = 337,004,645.04/20,102.99
  6. Step 6: Final answer
    x = 16,763.91

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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.