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Finding the Fourth Proportional to 12,137.88, 18,199.53 and 8,230.44

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Solution

The fourth proportional to 12,137.88, 18,199.53 and 8,230.44 is: 12,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.88 : 18,199.53 = 8,230.44 : x
  2. Step 2: Convert to fraction form
    12,137.88/18,199.53 = 8,230.44/x
  3. Step 3: Cross multiply
    12,137.88x = 18,199.53 × 8,230.44
  4. Step 4: Simplify right side
    12,137.88x = 149,790,139.69
  5. Step 5: Solve for x
    x = 149,790,139.69/12,137.88
  6. Step 6: Final answer
    x = 12,340.72

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1.5x scale

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.