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Finding the Fourth Proportional to 16,043.54, 22,140.92 and 9,238.57

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Solution

The fourth proportional to 16,043.54, 22,140.92 and 9,238.57 is: 12,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.54 : 22,140.92 = 9,238.57 : x
  2. Step 2: Convert to fraction form
    16,043.54/22,140.92 = 9,238.57/x
  3. Step 3: Cross multiply
    16,043.54x = 22,140.92 × 9,238.57
  4. Step 4: Simplify right side
    16,043.54x = 204,550,435.48
  5. Step 5: Solve for x
    x = 204,550,435.48/16,043.54
  6. Step 6: Final answer
    x = 12,749.71

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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.