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Finding the Fourth Proportional to 12,485.72, 18,729.83 and 4,165.78

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Solution

The fourth proportional to 12,485.72, 18,729.83 and 4,165.78 is: 6,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.72 : 18,729.83 = 4,165.78 : x
  2. Step 2: Convert to fraction form
    12,485.72/18,729.83 = 4,165.78/x
  3. Step 3: Cross multiply
    12,485.72x = 18,729.83 × 4,165.78
  4. Step 4: Simplify right side
    12,485.72x = 78,024,349.93
  5. Step 5: Solve for x
    x = 78,024,349.93/12,485.72
  6. Step 6: Final answer
    x = 6,249.09

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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.