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Finding the Fourth Proportional to 12,095.82, 18,138.06 and 7,166.16

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Solution

The fourth proportional to 12,095.82, 18,138.06 and 7,166.16 is: 10,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.82 : 18,138.06 = 7,166.16 : x
  2. Step 2: Convert to fraction form
    12,095.82/18,138.06 = 7,166.16/x
  3. Step 3: Cross multiply
    12,095.82x = 18,138.06 × 7,166.16
  4. Step 4: Simplify right side
    12,095.82x = 129,980,240.05
  5. Step 5: Solve for x
    x = 129,980,240.05/12,095.82
  6. Step 6: Final answer
    x = 10,745.88

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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.