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Finding the Fourth Proportional to 17,185.26, 23,715.64 and 9,733.26

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Solution

The fourth proportional to 17,185.26, 23,715.64 and 9,733.26 is: 13,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.26 : 23,715.64 = 9,733.26 : x
  2. Step 2: Convert to fraction form
    17,185.26/23,715.64 = 9,733.26/x
  3. Step 3: Cross multiply
    17,185.26x = 23,715.64 × 9,733.26
  4. Step 4: Simplify right side
    17,185.26x = 230,830,490.19
  5. Step 5: Solve for x
    x = 230,830,490.19/17,185.26
  6. Step 6: Final answer
    x = 13,431.89

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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.