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Finding the Fourth Proportional to 17,138.45, 23,659.70 and 16,222.75

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Solution

The fourth proportional to 17,138.45, 23,659.70 and 16,222.75 is: 22,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.45 : 23,659.70 = 16,222.75 : x
  2. Step 2: Convert to fraction form
    17,138.45/23,659.70 = 16,222.75/x
  3. Step 3: Cross multiply
    17,138.45x = 23,659.70 × 16,222.75
  4. Step 4: Simplify right side
    17,138.45x = 383,825,257.91
  5. Step 5: Solve for x
    x = 383,825,257.91/17,138.45
  6. Step 6: Final answer
    x = 22,395.56

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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.