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Finding the Fourth Proportional to 20,214.60, 30,321.90 and 15,986.40

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Solution

The fourth proportional to 20,214.60, 30,321.90 and 15,986.40 is: 23,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.60 : 30,321.90 = 15,986.40 : x
  2. Step 2: Convert to fraction form
    20,214.60/30,321.90 = 15,986.40/x
  3. Step 3: Cross multiply
    20,214.60x = 30,321.90 × 15,986.40
  4. Step 4: Simplify right side
    20,214.60x = 484,738,022.16
  5. Step 5: Solve for x
    x = 484,738,022.16/20,214.60
  6. Step 6: Final answer
    x = 23,979.60

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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.