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Finding the Fourth Proportional to 12,201.68, 18,267.93 and 8,029.14

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Solution

The fourth proportional to 12,201.68, 18,267.93 and 8,029.14 is: 12,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.68 : 18,267.93 = 8,029.14 : x
  2. Step 2: Convert to fraction form
    12,201.68/18,267.93 = 8,029.14/x
  3. Step 3: Cross multiply
    12,201.68x = 18,267.93 × 8,029.14
  4. Step 4: Simplify right side
    12,201.68x = 146,675,767.48
  5. Step 5: Solve for x
    x = 146,675,767.48/12,201.68
  6. Step 6: Final answer
    x = 12,020.95

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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.