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Finding the Fourth Proportional to 12,205.68, 18,273.93 and 8,033.14

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Solution

The fourth proportional to 12,205.68, 18,273.93 and 8,033.14 is: 12,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.68 : 18,273.93 = 8,033.14 : x
  2. Step 2: Convert to fraction form
    12,205.68/18,273.93 = 8,033.14/x
  3. Step 3: Cross multiply
    12,205.68x = 18,273.93 × 8,033.14
  4. Step 4: Simplify right side
    12,205.68x = 146,797,038.04
  5. Step 5: Solve for x
    x = 146,797,038.04/12,205.68
  6. Step 6: Final answer
    x = 12,026.94

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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.