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Finding the Fourth Proportional to 16,262.57, 22,441.27 and 9,188.54

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Solution

The fourth proportional to 16,262.57, 22,441.27 and 9,188.54 is: 12,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.57 : 22,441.27 = 9,188.54 : x
  2. Step 2: Convert to fraction form
    16,262.57/22,441.27 = 9,188.54/x
  3. Step 3: Cross multiply
    16,262.57x = 22,441.27 × 9,188.54
  4. Step 4: Simplify right side
    16,262.57x = 206,202,507.05
  5. Step 5: Solve for x
    x = 206,202,507.05/16,262.57
  6. Step 6: Final answer
    x = 12,679.58

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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.