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Finding the Fourth Proportional to 17,183.75, 23,713.58 and 9,731.75

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Solution

The fourth proportional to 17,183.75, 23,713.58 and 9,731.75 is: 13,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,183.75 : 23,713.58 = 9,731.75 : x
  2. Step 2: Convert to fraction form
    17,183.75/23,713.58 = 9,731.75/x
  3. Step 3: Cross multiply
    17,183.75x = 23,713.58 × 9,731.75
  4. Step 4: Simplify right side
    17,183.75x = 230,774,583.51
  5. Step 5: Solve for x
    x = 230,774,583.51/17,183.75
  6. Step 6: Final answer
    x = 13,429.82

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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.