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Finding the Fourth Proportional to 20,147.60, 30,214.20 and 9,059.60

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Solution

The fourth proportional to 20,147.60, 30,214.20 and 9,059.60 is: 13,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.60 : 30,214.20 = 9,059.60 : x
  2. Step 2: Convert to fraction form
    20,147.60/30,214.20 = 9,059.60/x
  3. Step 3: Cross multiply
    20,147.60x = 30,214.20 × 9,059.60
  4. Step 4: Simplify right side
    20,147.60x = 273,728,566.32
  5. Step 5: Solve for x
    x = 273,728,566.32/20,147.60
  6. Step 6: Final answer
    x = 13,586.16

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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.