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Finding the Fourth Proportional to 20,129.40, 30,194.10 and 14,945.40

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Solution

The fourth proportional to 20,129.40, 30,194.10 and 14,945.40 is: 22,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.40 : 30,194.10 = 14,945.40 : x
  2. Step 2: Convert to fraction form
    20,129.40/30,194.10 = 14,945.40/x
  3. Step 3: Cross multiply
    20,129.40x = 30,194.10 × 14,945.40
  4. Step 4: Simplify right side
    20,129.40x = 451,262,902.14
  5. Step 5: Solve for x
    x = 451,262,902.14/20,129.40
  6. Step 6: Final answer
    x = 22,418.10

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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.