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Finding the Fourth Proportional to 13,192.11, 18,205.17 and 7,223.82

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Solution

The fourth proportional to 13,192.11, 18,205.17 and 7,223.82 is: 9,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.11 : 18,205.17 = 7,223.82 : x
  2. Step 2: Convert to fraction form
    13,192.11/18,205.17 = 7,223.82/x
  3. Step 3: Cross multiply
    13,192.11x = 18,205.17 × 7,223.82
  4. Step 4: Simplify right side
    13,192.11x = 131,510,871.15
  5. Step 5: Solve for x
    x = 131,510,871.15/13,192.11
  6. Step 6: Final answer
    x = 9,968.90

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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.