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Finding the Fourth Proportional to 12,147.30, 18,218.88 and 4,249.49

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Solution

The fourth proportional to 12,147.30, 18,218.88 and 4,249.49 is: 6,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.30 : 18,218.88 = 4,249.49 : x
  2. Step 2: Convert to fraction form
    12,147.30/18,218.88 = 4,249.49/x
  3. Step 3: Cross multiply
    12,147.30x = 18,218.88 × 4,249.49
  4. Step 4: Simplify right side
    12,147.30x = 77,420,857.28
  5. Step 5: Solve for x
    x = 77,420,857.28/12,147.30
  6. Step 6: Final answer
    x = 6,373.50

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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.