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Finding the Fourth Proportional to 20,408.50, 30,623.64 and 8,719.03

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Solution

The fourth proportional to 20,408.50, 30,623.64 and 8,719.03 is: 13,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.50 : 30,623.64 = 8,719.03 : x
  2. Step 2: Convert to fraction form
    20,408.50/30,623.64 = 8,719.03/x
  3. Step 3: Cross multiply
    20,408.50x = 30,623.64 × 8,719.03
  4. Step 4: Simplify right side
    20,408.50x = 267,008,435.87
  5. Step 5: Solve for x
    x = 267,008,435.87/20,408.50
  6. Step 6: Final answer
    x = 13,083.20

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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.