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Finding the Fourth Proportional to 20,543.91, 30,801.96 and 8,056.14

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Solution

The fourth proportional to 20,543.91, 30,801.96 and 8,056.14 is: 12,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.91 : 30,801.96 = 8,056.14 : x
  2. Step 2: Convert to fraction form
    20,543.91/30,801.96 = 8,056.14/x
  3. Step 3: Cross multiply
    20,543.91x = 30,801.96 × 8,056.14
  4. Step 4: Simplify right side
    20,543.91x = 248,144,902.03
  5. Step 5: Solve for x
    x = 248,144,902.03/20,543.91
  6. Step 6: Final answer
    x = 12,078.76

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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.