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Finding the Fourth Proportional to 20,030.20, 27,640.38 and 12,074.20

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Solution

The fourth proportional to 20,030.20, 27,640.38 and 12,074.20 is: 16,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.20 : 27,640.38 = 12,074.20 : x
  2. Step 2: Convert to fraction form
    20,030.20/27,640.38 = 12,074.20/x
  3. Step 3: Cross multiply
    20,030.20x = 27,640.38 × 12,074.20
  4. Step 4: Simplify right side
    20,030.20x = 333,735,476.20
  5. Step 5: Solve for x
    x = 333,735,476.20/20,030.20
  6. Step 6: Final answer
    x = 16,661.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.