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Finding the Fourth Proportional to 15,850.92, 23,780.33 and 4,757.82

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Solution

The fourth proportional to 15,850.92, 23,780.33 and 4,757.82 is: 7,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850.92 : 23,780.33 = 4,757.82 : x
  2. Step 2: Convert to fraction form
    15,850.92/23,780.33 = 4,757.82/x
  3. Step 3: Cross multiply
    15,850.92x = 23,780.33 × 4,757.82
  4. Step 4: Simplify right side
    15,850.92x = 113,142,529.68
  5. Step 5: Solve for x
    x = 113,142,529.68/15,850.92
  6. Step 6: Final answer
    x = 7,137.92

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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.