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Finding the Fourth Proportional to 13,192.62, 18,205.84 and 7,142.92

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Solution

The fourth proportional to 13,192.62, 18,205.84 and 7,142.92 is: 9,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.62 : 18,205.84 = 7,142.92 : x
  2. Step 2: Convert to fraction form
    13,192.62/18,205.84 = 7,142.92/x
  3. Step 3: Cross multiply
    13,192.62x = 18,205.84 × 7,142.92
  4. Step 4: Simplify right side
    13,192.62x = 130,042,863.55
  5. Step 5: Solve for x
    x = 130,042,863.55/13,192.62
  6. Step 6: Final answer
    x = 9,857.25

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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.