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Finding the Fourth Proportional to 11,759.32, 17,633.67 and 8,458.57

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Solution

The fourth proportional to 11,759.32, 17,633.67 and 8,458.57 is: 12,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.32 : 17,633.67 = 8,458.57 : x
  2. Step 2: Convert to fraction form
    11,759.32/17,633.67 = 8,458.57/x
  3. Step 3: Cross multiply
    11,759.32x = 17,633.67 × 8,458.57
  4. Step 4: Simplify right side
    11,759.32x = 149,155,632.05
  5. Step 5: Solve for x
    x = 149,155,632.05/11,759.32
  6. Step 6: Final answer
    x = 12,684.04

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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.