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Finding the Fourth Proportional to 12,378.52, 17,082.80 and 8,850.16

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Solution

The fourth proportional to 12,378.52, 17,082.80 and 8,850.16 is: 12,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.52 : 17,082.80 = 8,850.16 : x
  2. Step 2: Convert to fraction form
    12,378.52/17,082.80 = 8,850.16/x
  3. Step 3: Cross multiply
    12,378.52x = 17,082.80 × 8,850.16
  4. Step 4: Simplify right side
    12,378.52x = 151,185,513.25
  5. Step 5: Solve for x
    x = 151,185,513.25/12,378.52
  6. Step 6: Final answer
    x = 12,213.54

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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.