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Finding the Fourth Proportional to 12,633.12, 18,945.12 and 3,745.80

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Solution

The fourth proportional to 12,633.12, 18,945.12 and 3,745.80 is: 5,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.12 : 18,945.12 = 3,745.80 : x
  2. Step 2: Convert to fraction form
    12,633.12/18,945.12 = 3,745.80/x
  3. Step 3: Cross multiply
    12,633.12x = 18,945.12 × 3,745.80
  4. Step 4: Simplify right side
    12,633.12x = 70,964,630.50
  5. Step 5: Solve for x
    x = 70,964,630.50/12,633.12
  6. Step 6: Final answer
    x = 5,617.35

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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.