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Finding the Fourth Proportional to 19,517.44, 29,250.16 and 11,200

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Solution

The fourth proportional to 19,517.44, 29,250.16 and 11,200 is: 16,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.44 : 29,250.16 = 11,200 : x
  2. Step 2: Convert to fraction form
    19,517.44/29,250.16 = 11,200/x
  3. Step 3: Cross multiply
    19,517.44x = 29,250.16 × 11,200
  4. Step 4: Simplify right side
    19,517.44x = 327,601,792
  5. Step 5: Solve for x
    x = 327,601,792/19,517.44
  6. Step 6: Final answer
    x = 16,785.08

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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.