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Finding the Fourth Proportional to 17,705.26, 26,557.96 and 7,175.48

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Solution

The fourth proportional to 17,705.26, 26,557.96 and 7,175.48 is: 10,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.26 : 26,557.96 = 7,175.48 : x
  2. Step 2: Convert to fraction form
    17,705.26/26,557.96 = 7,175.48/x
  3. Step 3: Cross multiply
    17,705.26x = 26,557.96 × 7,175.48
  4. Step 4: Simplify right side
    17,705.26x = 190,566,110.82
  5. Step 5: Solve for x
    x = 190,566,110.82/17,705.26
  6. Step 6: Final answer
    x = 10,763.25

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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.