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Finding the Fourth Proportional to 20,582.99, 30,881.87 and 8,096.10

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Solution

The fourth proportional to 20,582.99, 30,881.87 and 8,096.10 is: 12,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.99 : 30,881.87 = 8,096.10 : x
  2. Step 2: Convert to fraction form
    20,582.99/30,881.87 = 8,096.10/x
  3. Step 3: Cross multiply
    20,582.99x = 30,881.87 × 8,096.10
  4. Step 4: Simplify right side
    20,582.99x = 250,022,707.71
  5. Step 5: Solve for x
    x = 250,022,707.71/20,582.99
  6. Step 6: Final answer
    x = 12,147.05

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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.