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Finding the Fourth Proportional to 16,309.92, 22,507.62 and 9,236.16

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Solution

The fourth proportional to 16,309.92, 22,507.62 and 9,236.16 is: 12,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.92 : 22,507.62 = 9,236.16 : x
  2. Step 2: Convert to fraction form
    16,309.92/22,507.62 = 9,236.16/x
  3. Step 3: Cross multiply
    16,309.92x = 22,507.62 × 9,236.16
  4. Step 4: Simplify right side
    16,309.92x = 207,883,979.54
  5. Step 5: Solve for x
    x = 207,883,979.54/16,309.92
  6. Step 6: Final answer
    x = 12,745.86

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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.