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Finding the Fourth Proportional to 23,863.76, 35,787.24 and 9,819.68

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Solution

The fourth proportional to 23,863.76, 35,787.24 and 9,819.68 is: 14,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.76 : 35,787.24 = 9,819.68 : x
  2. Step 2: Convert to fraction form
    23,863.76/35,787.24 = 9,819.68/x
  3. Step 3: Cross multiply
    23,863.76x = 35,787.24 × 9,819.68
  4. Step 4: Simplify right side
    23,863.76x = 351,419,244.88
  5. Step 5: Solve for x
    x = 351,419,244.88/23,863.76
  6. Step 6: Final answer
    x = 14,726.06

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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.