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Finding the Fourth Proportional to 20,096.40, 30,144.60 and 14,847.60

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Solution

The fourth proportional to 20,096.40, 30,144.60 and 14,847.60 is: 22,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.40 : 30,144.60 = 14,847.60 : x
  2. Step 2: Convert to fraction form
    20,096.40/30,144.60 = 14,847.60/x
  3. Step 3: Cross multiply
    20,096.40x = 30,144.60 × 14,847.60
  4. Step 4: Simplify right side
    20,096.40x = 447,574,962.96
  5. Step 5: Solve for x
    x = 447,574,962.96/20,096.40
  6. Step 6: Final answer
    x = 22,271.40

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Double scale
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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.