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Finding the Fourth Proportional to 12,930.83, 19,399.29 and 4,165.41

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Solution

The fourth proportional to 12,930.83, 19,399.29 and 4,165.41 is: 6,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.83 : 19,399.29 = 4,165.41 : x
  2. Step 2: Convert to fraction form
    12,930.83/19,399.29 = 4,165.41/x
  3. Step 3: Cross multiply
    12,930.83x = 19,399.29 × 4,165.41
  4. Step 4: Simplify right side
    12,930.83x = 80,805,975.73
  5. Step 5: Solve for x
    x = 80,805,975.73/12,930.83
  6. Step 6: Final answer
    x = 6,249.10

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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.