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Finding the Fourth Proportional to 11,922.36, 17,895.32 and 8,950.47

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Solution

The fourth proportional to 11,922.36, 17,895.32 and 8,950.47 is: 13,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.36 : 17,895.32 = 8,950.47 : x
  2. Step 2: Convert to fraction form
    11,922.36/17,895.32 = 8,950.47/x
  3. Step 3: Cross multiply
    11,922.36x = 17,895.32 × 8,950.47
  4. Step 4: Simplify right side
    11,922.36x = 160,171,480.05
  5. Step 5: Solve for x
    x = 160,171,480.05/11,922.36
  6. Step 6: Final answer
    x = 13,434.54

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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.