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Finding the Fourth Proportional to 23,682.80, 32,662.20 and 14,249.60

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Solution

The fourth proportional to 23,682.80, 32,662.20 and 14,249.60 is: 19,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.80 : 32,662.20 = 14,249.60 : x
  2. Step 2: Convert to fraction form
    23,682.80/32,662.20 = 14,249.60/x
  3. Step 3: Cross multiply
    23,682.80x = 32,662.20 × 14,249.60
  4. Step 4: Simplify right side
    23,682.80x = 465,423,285.12
  5. Step 5: Solve for x
    x = 465,423,285.12/23,682.80
  6. Step 6: Final answer
    x = 19,652.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.