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Finding the Fourth Proportional to 20,408.79, 30,624.99 and 8,561.50

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Solution

The fourth proportional to 20,408.79, 30,624.99 and 8,561.50 is: 12,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.79 : 30,624.99 = 8,561.50 : x
  2. Step 2: Convert to fraction form
    20,408.79/30,624.99 = 8,561.50/x
  3. Step 3: Cross multiply
    20,408.79x = 30,624.99 × 8,561.50
  4. Step 4: Simplify right side
    20,408.79x = 262,195,743.22
  5. Step 5: Solve for x
    x = 262,195,743.22/20,408.79
  6. Step 6: Final answer
    x = 12,847.20

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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.