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Finding the Fourth Proportional to 17,258.68, 25,884.60 and 7,896.16

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Solution

The fourth proportional to 17,258.68, 25,884.60 and 7,896.16 is: 11,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.68 : 25,884.60 = 7,896.16 : x
  2. Step 2: Convert to fraction form
    17,258.68/25,884.60 = 7,896.16/x
  3. Step 3: Cross multiply
    17,258.68x = 25,884.60 × 7,896.16
  4. Step 4: Simplify right side
    17,258.68x = 204,388,943.14
  5. Step 5: Solve for x
    x = 204,388,943.14/17,258.68
  6. Step 6: Final answer
    x = 11,842.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.