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Finding the Fourth Proportional to 12,850.72, 17,734.87 and 7,185.35

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Solution

The fourth proportional to 12,850.72, 17,734.87 and 7,185.35 is: 9,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.72 : 17,734.87 = 7,185.35 : x
  2. Step 2: Convert to fraction form
    12,850.72/17,734.87 = 7,185.35/x
  3. Step 3: Cross multiply
    12,850.72x = 17,734.87 × 7,185.35
  4. Step 4: Simplify right side
    12,850.72x = 127,431,266.12
  5. Step 5: Solve for x
    x = 127,431,266.12/12,850.72
  6. Step 6: Final answer
    x = 9,916.28

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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.