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Finding the Fourth Proportional to 12,930.96, 19,399.68 and 4,165.68

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Solution

The fourth proportional to 12,930.96, 19,399.68 and 4,165.68 is: 6,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.96 : 19,399.68 = 4,165.68 : x
  2. Step 2: Convert to fraction form
    12,930.96/19,399.68 = 4,165.68/x
  3. Step 3: Cross multiply
    12,930.96x = 19,399.68 × 4,165.68
  4. Step 4: Simplify right side
    12,930.96x = 80,812,858.98
  5. Step 5: Solve for x
    x = 80,812,858.98/12,930.96
  6. Step 6: Final answer
    x = 6,249.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.