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Finding the Fourth Proportional to 12,382.26, 18,564.13 and 7,450.77

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Solution

The fourth proportional to 12,382.26, 18,564.13 and 7,450.77 is: 11,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.26 : 18,564.13 = 7,450.77 : x
  2. Step 2: Convert to fraction form
    12,382.26/18,564.13 = 7,450.77/x
  3. Step 3: Cross multiply
    12,382.26x = 18,564.13 × 7,450.77
  4. Step 4: Simplify right side
    12,382.26x = 138,317,062.88
  5. Step 5: Solve for x
    x = 138,317,062.88/12,382.26
  6. Step 6: Final answer
    x = 11,170.58

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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.