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Finding the Fourth Proportional to 23,164.14, 34,746.22 and 5,633.86

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Solution

The fourth proportional to 23,164.14, 34,746.22 and 5,633.86 is: 8,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.14 : 34,746.22 = 5,633.86 : x
  2. Step 2: Convert to fraction form
    23,164.14/34,746.22 = 5,633.86/x
  3. Step 3: Cross multiply
    23,164.14x = 34,746.22 × 5,633.86
  4. Step 4: Simplify right side
    23,164.14x = 195,755,339.01
  5. Step 5: Solve for x
    x = 195,755,339.01/23,164.14
  6. Step 6: Final answer
    x = 8,450.79

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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.