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Finding the Fourth Proportional to 17,117.68, 23,622.90 and 9,563.77

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Solution

The fourth proportional to 17,117.68, 23,622.90 and 9,563.77 is: 13,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.68 : 23,622.90 = 9,563.77 : x
  2. Step 2: Convert to fraction form
    17,117.68/23,622.90 = 9,563.77/x
  3. Step 3: Cross multiply
    17,117.68x = 23,622.90 × 9,563.77
  4. Step 4: Simplify right side
    17,117.68x = 225,923,982.33
  5. Step 5: Solve for x
    x = 225,923,982.33/17,117.68
  6. Step 6: Final answer
    x = 13,198.28

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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.