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Finding the Fourth Proportional to 23,578.16, 35,369.54 and 8,589.35

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Solution

The fourth proportional to 23,578.16, 35,369.54 and 8,589.35 is: 12,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.16 : 35,369.54 = 8,589.35 : x
  2. Step 2: Convert to fraction form
    23,578.16/35,369.54 = 8,589.35/x
  3. Step 3: Cross multiply
    23,578.16x = 35,369.54 × 8,589.35
  4. Step 4: Simplify right side
    23,578.16x = 303,801,285.45
  5. Step 5: Solve for x
    x = 303,801,285.45/23,578.16
  6. Step 6: Final answer
    x = 12,884.86

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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.