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Finding the Fourth Proportional to 13,162.23, 18,163.17 and 7,193.88

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Solution

The fourth proportional to 13,162.23, 18,163.17 and 7,193.88 is: 9,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.23 : 18,163.17 = 7,193.88 : x
  2. Step 2: Convert to fraction form
    13,162.23/18,163.17 = 7,193.88/x
  3. Step 3: Cross multiply
    13,162.23x = 18,163.17 × 7,193.88
  4. Step 4: Simplify right side
    13,162.23x = 130,663,665.40
  5. Step 5: Solve for x
    x = 130,663,665.40/13,162.23
  6. Step 6: Final answer
    x = 9,927.17

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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.