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Finding the Fourth Proportional to 15,709.78, 23,568.12 and 5,179.38

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Solution

The fourth proportional to 15,709.78, 23,568.12 and 5,179.38 is: 7,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.78 : 23,568.12 = 5,179.38 : x
  2. Step 2: Convert to fraction form
    15,709.78/23,568.12 = 5,179.38/x
  3. Step 3: Cross multiply
    15,709.78x = 23,568.12 × 5,179.38
  4. Step 4: Simplify right side
    15,709.78x = 122,068,249.37
  5. Step 5: Solve for x
    x = 122,068,249.37/15,709.78
  6. Step 6: Final answer
    x = 7,770.21

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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.