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Finding the Fourth Proportional to 16,409.25, 22,644.48 and 9,141.24

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Solution

The fourth proportional to 16,409.25, 22,644.48 and 9,141.24 is: 12,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.25 : 22,644.48 = 9,141.24 : x
  2. Step 2: Convert to fraction form
    16,409.25/22,644.48 = 9,141.24/x
  3. Step 3: Cross multiply
    16,409.25x = 22,644.48 × 9,141.24
  4. Step 4: Simplify right side
    16,409.25x = 206,998,626.36
  5. Step 5: Solve for x
    x = 206,998,626.36/16,409.25
  6. Step 6: Final answer
    x = 12,614.75

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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.