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Finding the Fourth Proportional to 20,109.80, 30,164.70 and 13,146.60

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Solution

The fourth proportional to 20,109.80, 30,164.70 and 13,146.60 is: 19,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.80 : 30,164.70 = 13,146.60 : x
  2. Step 2: Convert to fraction form
    20,109.80/30,164.70 = 13,146.60/x
  3. Step 3: Cross multiply
    20,109.80x = 30,164.70 × 13,146.60
  4. Step 4: Simplify right side
    20,109.80x = 396,563,245.02
  5. Step 5: Solve for x
    x = 396,563,245.02/20,109.80
  6. Step 6: Final answer
    x = 19,719.90

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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.