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Finding the Fourth Proportional to 12,331.24, 18,516.70 and 5,419.24

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Solution

The fourth proportional to 12,331.24, 18,516.70 and 5,419.24 is: 8,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.24 : 18,516.70 = 5,419.24 : x
  2. Step 2: Convert to fraction form
    12,331.24/18,516.70 = 5,419.24/x
  3. Step 3: Cross multiply
    12,331.24x = 18,516.70 × 5,419.24
  4. Step 4: Simplify right side
    12,331.24x = 100,346,441.31
  5. Step 5: Solve for x
    x = 100,346,441.31/12,331.24
  6. Step 6: Final answer
    x = 8,137.58

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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.