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Finding the Fourth Proportional to 22,858.32, 34,286.96 and 10,546.32

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Solution

The fourth proportional to 22,858.32, 34,286.96 and 10,546.32 is: 15,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.32 : 34,286.96 = 10,546.32 : x
  2. Step 2: Convert to fraction form
    22,858.32/34,286.96 = 10,546.32/x
  3. Step 3: Cross multiply
    22,858.32x = 34,286.96 × 10,546.32
  4. Step 4: Simplify right side
    22,858.32x = 361,601,251.99
  5. Step 5: Solve for x
    x = 361,601,251.99/22,858.32
  6. Step 6: Final answer
    x = 15,819.24

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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.