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Finding the Fourth Proportional to 17,258.72, 23,816.25 and 9,706.28

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Solution

The fourth proportional to 17,258.72, 23,816.25 and 9,706.28 is: 13,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.72 : 23,816.25 = 9,706.28 : x
  2. Step 2: Convert to fraction form
    17,258.72/23,816.25 = 9,706.28/x
  3. Step 3: Cross multiply
    17,258.72x = 23,816.25 × 9,706.28
  4. Step 4: Simplify right side
    17,258.72x = 231,167,071.97
  5. Step 5: Solve for x
    x = 231,167,071.97/17,258.72
  6. Step 6: Final answer
    x = 13,394.22

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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.