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Finding the Fourth Proportional to 12,201.26, 18,309.06 and 5,180.81

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Solution

The fourth proportional to 12,201.26, 18,309.06 and 5,180.81 is: 7,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.26 : 18,309.06 = 5,180.81 : x
  2. Step 2: Convert to fraction form
    12,201.26/18,309.06 = 5,180.81/x
  3. Step 3: Cross multiply
    12,201.26x = 18,309.06 × 5,180.81
  4. Step 4: Simplify right side
    12,201.26x = 94,855,761.14
  5. Step 5: Solve for x
    x = 94,855,761.14/12,201.26
  6. Step 6: Final answer
    x = 7,774.26

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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.