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Finding the Fourth Proportional to 20,033.64, 27,648.84 and 11,650.14

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Solution

The fourth proportional to 20,033.64, 27,648.84 and 11,650.14 is: 16,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.64 : 27,648.84 = 11,650.14 : x
  2. Step 2: Convert to fraction form
    20,033.64/27,648.84 = 11,650.14/x
  3. Step 3: Cross multiply
    20,033.64x = 27,648.84 × 11,650.14
  4. Step 4: Simplify right side
    20,033.64x = 322,112,856.84
  5. Step 5: Solve for x
    x = 322,112,856.84/20,033.64
  6. Step 6: Final answer
    x = 16,078.60

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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.