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Finding the Fourth Proportional to 23,864.67, 35,786.57 and 9,815.31

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Solution

The fourth proportional to 23,864.67, 35,786.57 and 9,815.31 is: 14,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.67 : 35,786.57 = 9,815.31 : x
  2. Step 2: Convert to fraction form
    23,864.67/35,786.57 = 9,815.31/x
  3. Step 3: Cross multiply
    23,864.67x = 35,786.57 × 9,815.31
  4. Step 4: Simplify right side
    23,864.67x = 351,256,229.31
  5. Step 5: Solve for x
    x = 351,256,229.31/23,864.67
  6. Step 6: Final answer
    x = 14,718.67

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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.