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Finding the Fourth Proportional to 23,876.16, 35,812.46 and 9,645.62

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Solution

The fourth proportional to 23,876.16, 35,812.46 and 9,645.62 is: 14,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.16 : 35,812.46 = 9,645.62 : x
  2. Step 2: Convert to fraction form
    23,876.16/35,812.46 = 9,645.62/x
  3. Step 3: Cross multiply
    23,876.16x = 35,812.46 × 9,645.62
  4. Step 4: Simplify right side
    23,876.16x = 345,433,380.43
  5. Step 5: Solve for x
    x = 345,433,380.43/23,876.16
  6. Step 6: Final answer
    x = 14,467.71

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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.