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Finding the Fourth Proportional to 17,258.42, 23,817.44 and 9,707.12

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Solution

The fourth proportional to 17,258.42, 23,817.44 and 9,707.12 is: 13,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.42 : 23,817.44 = 9,707.12 : x
  2. Step 2: Convert to fraction form
    17,258.42/23,817.44 = 9,707.12/x
  3. Step 3: Cross multiply
    17,258.42x = 23,817.44 × 9,707.12
  4. Step 4: Simplify right side
    17,258.42x = 231,198,748.17
  5. Step 5: Solve for x
    x = 231,198,748.17/17,258.42
  6. Step 6: Final answer
    x = 13,396.29

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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.