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Finding the Fourth Proportional to 17,185, 23,715.30 and 9,734.44

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Solution

The fourth proportional to 17,185, 23,715.30 and 9,734.44 is: 13,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185 : 23,715.30 = 9,734.44 : x
  2. Step 2: Convert to fraction form
    17,185/23,715.30 = 9,734.44/x
  3. Step 3: Cross multiply
    17,185x = 23,715.30 × 9,734.44
  4. Step 4: Simplify right side
    17,185x = 230,855,164.93
  5. Step 5: Solve for x
    x = 230,855,164.93/17,185
  6. Step 6: Final answer
    x = 13,433.53

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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.