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Finding the Fourth Proportional to 17,334.50, 23,920.20 and 9,782.64

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Solution

The fourth proportional to 17,334.50, 23,920.20 and 9,782.64 is: 13,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334.50 : 23,920.20 = 9,782.64 : x
  2. Step 2: Convert to fraction form
    17,334.50/23,920.20 = 9,782.64/x
  3. Step 3: Cross multiply
    17,334.50x = 23,920.20 × 9,782.64
  4. Step 4: Simplify right side
    17,334.50x = 234,002,705.33
  5. Step 5: Solve for x
    x = 234,002,705.33/17,334.50
  6. Step 6: Final answer
    x = 13,499.25

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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.