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Finding the Fourth Proportional to 12,221.63, 18,345.41 and 10,825.11

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Solution

The fourth proportional to 12,221.63, 18,345.41 and 10,825.11 is: 16,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.63 : 18,345.41 = 10,825.11 : x
  2. Step 2: Convert to fraction form
    12,221.63/18,345.41 = 10,825.11/x
  3. Step 3: Cross multiply
    12,221.63x = 18,345.41 × 10,825.11
  4. Step 4: Simplify right side
    12,221.63x = 198,591,027.12
  5. Step 5: Solve for x
    x = 198,591,027.12/12,221.63
  6. Step 6: Final answer
    x = 16,249.15

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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.