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Finding the Fourth Proportional to 20,566.20, 30,914.10 and 20,177.40

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Solution

The fourth proportional to 20,566.20, 30,914.10 and 20,177.40 is: 30,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.20 : 30,914.10 = 20,177.40 : x
  2. Step 2: Convert to fraction form
    20,566.20/30,914.10 = 20,177.40/x
  3. Step 3: Cross multiply
    20,566.20x = 30,914.10 × 20,177.40
  4. Step 4: Simplify right side
    20,566.20x = 623,766,161.34
  5. Step 5: Solve for x
    x = 623,766,161.34/20,566.20
  6. Step 6: Final answer
    x = 30,329.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.