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Finding the Fourth Proportional to 20,105.60, 30,129.60 and 14,799.20

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Solution

The fourth proportional to 20,105.60, 30,129.60 and 14,799.20 is: 22,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.60 : 30,129.60 = 14,799.20 : x
  2. Step 2: Convert to fraction form
    20,105.60/30,129.60 = 14,799.20/x
  3. Step 3: Cross multiply
    20,105.60x = 30,129.60 × 14,799.20
  4. Step 4: Simplify right side
    20,105.60x = 445,893,976.32
  5. Step 5: Solve for x
    x = 445,893,976.32/20,105.60
  6. Step 6: Final answer
    x = 22,177.60

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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.