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Finding the Fourth Proportional to 17,180.75, 23,709.44 and 9,728.75

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Solution

The fourth proportional to 17,180.75, 23,709.44 and 9,728.75 is: 13,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180.75 : 23,709.44 = 9,728.75 : x
  2. Step 2: Convert to fraction form
    17,180.75/23,709.44 = 9,728.75/x
  3. Step 3: Cross multiply
    17,180.75x = 23,709.44 × 9,728.75
  4. Step 4: Simplify right side
    17,180.75x = 230,663,214.40
  5. Step 5: Solve for x
    x = 230,663,214.40/17,180.75
  6. Step 6: Final answer
    x = 13,425.68

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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.